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Finding the Fourth Proportional to 172,204.34, 258,306.92 and 53,875.90

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Solution

The fourth proportional to 172,204.34, 258,306.92 and 53,875.90 is: 80,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,204.34 : 258,306.92 = 53,875.90 : x
  2. Step 2: Convert to fraction form
    172,204.34/258,306.92 = 53,875.90/x
  3. Step 3: Cross multiply
    172,204.34x = 258,306.92 × 53,875.90
  4. Step 4: Simplify right side
    172,204.34x = 13,916,516,230.31
  5. Step 5: Solve for x
    x = 13,916,516,230.31/172,204.34
  6. Step 6: Final answer
    x = 80,813.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.