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Finding the Fourth Proportional to 172,702.96, 238,342.28 and 96,227.08

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Solution

The fourth proportional to 172,702.96, 238,342.28 and 96,227.08 is: 132,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,702.96 : 238,342.28 = 96,227.08 : x
  2. Step 2: Convert to fraction form
    172,702.96/238,342.28 = 96,227.08/x
  3. Step 3: Cross multiply
    172,702.96x = 238,342.28 × 96,227.08
  4. Step 4: Simplify right side
    172,702.96x = 22,934,981,644.94
  5. Step 5: Solve for x
    x = 22,934,981,644.94/172,702.96
  6. Step 6: Final answer
    x = 132,800.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.