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Finding the Fourth Proportional to 82,822.60, 124,233.90 and 78,545.80

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Solution

The fourth proportional to 82,822.60, 124,233.90 and 78,545.80 is: 117,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,822.60 : 124,233.90 = 78,545.80 : x
  2. Step 2: Convert to fraction form
    82,822.60/124,233.90 = 78,545.80/x
  3. Step 3: Cross multiply
    82,822.60x = 124,233.90 × 78,545.80
  4. Step 4: Simplify right side
    82,822.60x = 9,758,051,062.62
  5. Step 5: Solve for x
    x = 9,758,051,062.62/82,822.60
  6. Step 6: Final answer
    x = 117,818.70

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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.