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Finding the Fourth Proportional to 82,930.60, 124,292.22 and 65,330.92

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Solution

The fourth proportional to 82,930.60, 124,292.22 and 65,330.92 is: 97,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,930.60 : 124,292.22 = 65,330.92 : x
  2. Step 2: Convert to fraction form
    82,930.60/124,292.22 = 65,330.92/x
  3. Step 3: Cross multiply
    82,930.60x = 124,292.22 × 65,330.92
  4. Step 4: Simplify right side
    82,930.60x = 8,120,125,081.44
  5. Step 5: Solve for x
    x = 8,120,125,081.44/82,930.60
  6. Step 6: Final answer
    x = 97,914.70

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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.