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Finding the Fourth Proportional to 96,514.14, 133,197.05 and 62,089.61

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Solution

The fourth proportional to 96,514.14, 133,197.05 and 62,089.61 is: 85,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,514.14 : 133,197.05 = 62,089.61 : x
  2. Step 2: Convert to fraction form
    96,514.14/133,197.05 = 62,089.61/x
  3. Step 3: Cross multiply
    96,514.14x = 133,197.05 × 62,089.61
  4. Step 4: Simplify right side
    96,514.14x = 8,270,152,876.38
  5. Step 5: Solve for x
    x = 8,270,152,876.38/96,514.14
  6. Step 6: Final answer
    x = 85,688.51

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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.