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Finding the Fourth Proportional to 207,044.13, 285,719.17 and 116,400.50

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Solution

The fourth proportional to 207,044.13, 285,719.17 and 116,400.50 is: 160,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,044.13 : 285,719.17 = 116,400.50 : x
  2. Step 2: Convert to fraction form
    207,044.13/285,719.17 = 116,400.50/x
  3. Step 3: Cross multiply
    207,044.13x = 285,719.17 × 116,400.50
  4. Step 4: Simplify right side
    207,044.13x = 33,257,854,247.59
  5. Step 5: Solve for x
    x = 33,257,854,247.59/207,044.13
  6. Step 6: Final answer
    x = 160,631.72

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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.