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Finding the Fourth Proportional to 83,206.70, 124,943.70 and 77,066.90

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Solution

The fourth proportional to 83,206.70, 124,943.70 and 77,066.90 is: 115,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206.70 : 124,943.70 = 77,066.90 : x
  2. Step 2: Convert to fraction form
    83,206.70/124,943.70 = 77,066.90/x
  3. Step 3: Cross multiply
    83,206.70x = 124,943.70 × 77,066.90
  4. Step 4: Simplify right side
    83,206.70x = 9,629,023,633.53
  5. Step 5: Solve for x
    x = 9,629,023,633.53/83,206.70
  6. Step 6: Final answer
    x = 115,724.14

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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.