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Finding the Fourth Proportional to 135,092.34, 202,641.30 and 41,598

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Solution

The fourth proportional to 135,092.34, 202,641.30 and 41,598 is: 62,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,092.34 : 202,641.30 = 41,598 : x
  2. Step 2: Convert to fraction form
    135,092.34/202,641.30 = 41,598/x
  3. Step 3: Cross multiply
    135,092.34x = 202,641.30 × 41,598
  4. Step 4: Simplify right side
    135,092.34x = 8,429,472,797.40
  5. Step 5: Solve for x
    x = 8,429,472,797.40/135,092.34
  6. Step 6: Final answer
    x = 62,397.86

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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.