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Finding the Fourth Proportional to 172,932.14, 238,699.64 and 101,335.43

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Solution

The fourth proportional to 172,932.14, 238,699.64 and 101,335.43 is: 139,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,932.14 : 238,699.64 = 101,335.43 : x
  2. Step 2: Convert to fraction form
    172,932.14/238,699.64 = 101,335.43/x
  3. Step 3: Cross multiply
    172,932.14x = 238,699.64 × 101,335.43
  4. Step 4: Simplify right side
    172,932.14x = 24,188,730,660.25
  5. Step 5: Solve for x
    x = 24,188,730,660.25/172,932.14
  6. Step 6: Final answer
    x = 139,874.12

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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.