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Finding the Fourth Proportional to 204,689.52, 307,062.27 and 71,538.93

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Solution

The fourth proportional to 204,689.52, 307,062.27 and 71,538.93 is: 107,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,689.52 : 307,062.27 = 71,538.93 : x
  2. Step 2: Convert to fraction form
    204,689.52/307,062.27 = 71,538.93/x
  3. Step 3: Cross multiply
    204,689.52x = 307,062.27 × 71,538.93
  4. Step 4: Simplify right side
    204,689.52x = 21,966,906,239.17
  5. Step 5: Solve for x
    x = 21,966,906,239.17/204,689.52
  6. Step 6: Final answer
    x = 107,318.18

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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.