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Finding the Fourth Proportional to 116,234.52, 160,402.14 and 68,489.88

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Solution

The fourth proportional to 116,234.52, 160,402.14 and 68,489.88 is: 94,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,234.52 : 160,402.14 = 68,489.88 : x
  2. Step 2: Convert to fraction form
    116,234.52/160,402.14 = 68,489.88/x
  3. Step 3: Cross multiply
    116,234.52x = 160,402.14 × 68,489.88
  4. Step 4: Simplify right side
    116,234.52x = 10,985,923,320.34
  5. Step 5: Solve for x
    x = 10,985,923,320.34/116,234.52
  6. Step 6: Final answer
    x = 94,515.15

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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.