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Finding the Fourth Proportional to 202,964.80, 304,447.20 and 150,476.80

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Solution

The fourth proportional to 202,964.80, 304,447.20 and 150,476.80 is: 225,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,964.80 : 304,447.20 = 150,476.80 : x
  2. Step 2: Convert to fraction form
    202,964.80/304,447.20 = 150,476.80/x
  3. Step 3: Cross multiply
    202,964.80x = 304,447.20 × 150,476.80
  4. Step 4: Simplify right side
    202,964.80x = 45,812,240,424.96
  5. Step 5: Solve for x
    x = 45,812,240,424.96/202,964.80
  6. Step 6: Final answer
    x = 225,715.20

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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.