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Finding the Fourth Proportional to 83,216.70, 124,958.70 and 77,076.90

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Solution

The fourth proportional to 83,216.70, 124,958.70 and 77,076.90 is: 115,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216.70 : 124,958.70 = 77,076.90 : x
  2. Step 2: Convert to fraction form
    83,216.70/124,958.70 = 77,076.90/x
  3. Step 3: Cross multiply
    83,216.70x = 124,958.70 × 77,076.90
  4. Step 4: Simplify right side
    83,216.70x = 9,631,429,224.03
  5. Step 5: Solve for x
    x = 9,631,429,224.03/83,216.70
  6. Step 6: Final answer
    x = 115,739.14

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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.