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Finding the Fourth Proportional to 83,294.60, 124,287.69 and 78,210.84

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Solution

The fourth proportional to 83,294.60, 124,287.69 and 78,210.84 is: 116,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,294.60 : 124,287.69 = 78,210.84 : x
  2. Step 2: Convert to fraction form
    83,294.60/124,287.69 = 78,210.84/x
  3. Step 3: Cross multiply
    83,294.60x = 124,287.69 × 78,210.84
  4. Step 4: Simplify right side
    83,294.60x = 9,720,644,636.56
  5. Step 5: Solve for x
    x = 9,720,644,636.56/83,294.60
  6. Step 6: Final answer
    x = 116,701.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.