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Finding the Fourth Proportional to 200,051.20, 299,731.20 and 168,947.20

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Solution

The fourth proportional to 200,051.20, 299,731.20 and 168,947.20 is: 253,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,051.20 : 299,731.20 = 168,947.20 : x
  2. Step 2: Convert to fraction form
    200,051.20/299,731.20 = 168,947.20/x
  3. Step 3: Cross multiply
    200,051.20x = 299,731.20 × 168,947.20
  4. Step 4: Simplify right side
    200,051.20x = 50,638,746,992.64
  5. Step 5: Solve for x
    x = 50,638,746,992.64/200,051.20
  6. Step 6: Final answer
    x = 253,128.93

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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.