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Finding the Fourth Proportional to 115,062.71, 158,835.68 and 77,358.83

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Solution

The fourth proportional to 115,062.71, 158,835.68 and 77,358.83 is: 106,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,062.71 : 158,835.68 = 77,358.83 : x
  2. Step 2: Convert to fraction form
    115,062.71/158,835.68 = 77,358.83/x
  3. Step 3: Cross multiply
    115,062.71x = 158,835.68 × 77,358.83
  4. Step 4: Simplify right side
    115,062.71x = 12,287,341,186.08
  5. Step 5: Solve for x
    x = 12,287,341,186.08/115,062.71
  6. Step 6: Final answer
    x = 106,788.22

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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.