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Finding the Fourth Proportional to 200,113,715.20, 299,722,675.20 and 164,281,907.20

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Solution

The fourth proportional to 200,113,715.20, 299,722,675.20 and 164,281,907.20 is: 246,055,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,113,715.20 : 299,722,675.20 = 164,281,907.20 : x
  2. Step 2: Convert to fraction form
    200,113,715.20/299,722,675.20 = 164,281,907.20/x
  3. Step 3: Cross multiply
    200,113,715.20x = 299,722,675.20 × 164,281,907.20
  4. Step 4: Simplify right side
    200,113,715.20x = 49,239,012,712,942,136
  5. Step 5: Solve for x
    x = 49,239,012,712,942,136/200,113,715.20
  6. Step 6: Final answer
    x = 246,055,162.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.