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Finding the Fourth Proportional to 287,833.68, 431,489.16 and 100,743.12

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Solution

The fourth proportional to 287,833.68, 431,489.16 and 100,743.12 is: 151,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,833.68 : 431,489.16 = 100,743.12 : x
  2. Step 2: Convert to fraction form
    287,833.68/431,489.16 = 100,743.12/x
  3. Step 3: Cross multiply
    287,833.68x = 431,489.16 × 100,743.12
  4. Step 4: Simplify right side
    287,833.68x = 43,469,564,224.58
  5. Step 5: Solve for x
    x = 43,469,564,224.58/287,833.68
  6. Step 6: Final answer
    x = 151,023.20

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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.