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Finding the Fourth Proportional to 109,227.60, 163,742.40 and 75,963.24

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Solution

The fourth proportional to 109,227.60, 163,742.40 and 75,963.24 is: 113,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,227.60 : 163,742.40 = 75,963.24 : x
  2. Step 2: Convert to fraction form
    109,227.60/163,742.40 = 75,963.24/x
  3. Step 3: Cross multiply
    109,227.60x = 163,742.40 × 75,963.24
  4. Step 4: Simplify right side
    109,227.60x = 12,438,403,229.38
  5. Step 5: Solve for x
    x = 12,438,403,229.38/109,227.60
  6. Step 6: Final answer
    x = 113,876.01

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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.