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Finding the Fourth Proportional to 83,864.40, 125,796.60 and 77,449.20

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Solution

The fourth proportional to 83,864.40, 125,796.60 and 77,449.20 is: 116,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,864.40 : 125,796.60 = 77,449.20 : x
  2. Step 2: Convert to fraction form
    83,864.40/125,796.60 = 77,449.20/x
  3. Step 3: Cross multiply
    83,864.40x = 125,796.60 × 77,449.20
  4. Step 4: Simplify right side
    83,864.40x = 9,742,846,032.72
  5. Step 5: Solve for x
    x = 9,742,846,032.72/83,864.40
  6. Step 6: Final answer
    x = 116,173.80

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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.