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Finding the Fourth Proportional to 172,965.15, 238,691.49 and 97,513.11

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Solution

The fourth proportional to 172,965.15, 238,691.49 and 97,513.11 is: 134,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,965.15 : 238,691.49 = 97,513.11 : x
  2. Step 2: Convert to fraction form
    172,965.15/238,691.49 = 97,513.11/x
  3. Step 3: Cross multiply
    172,965.15x = 238,691.49 × 97,513.11
  4. Step 4: Simplify right side
    172,965.15x = 23,275,549,520.43
  5. Step 5: Solve for x
    x = 23,275,549,520.43/172,965.15
  6. Step 6: Final answer
    x = 134,567.86

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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.