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Finding the Fourth Proportional to 129,337.83, 193,941 and 59,157

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Solution

The fourth proportional to 129,337.83, 193,941 and 59,157 is: 88,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,337.83 : 193,941 = 59,157 : x
  2. Step 2: Convert to fraction form
    129,337.83/193,941 = 59,157/x
  3. Step 3: Cross multiply
    129,337.83x = 193,941 × 59,157
  4. Step 4: Simplify right side
    129,337.83x = 11,472,967,737
  5. Step 5: Solve for x
    x = 11,472,967,737/129,337.83
  6. Step 6: Final answer
    x = 88,705.43

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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.