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Finding the Fourth Proportional to 109,807.60, 164,711.40 and 96,248.20

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Solution

The fourth proportional to 109,807.60, 164,711.40 and 96,248.20 is: 144,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,807.60 : 164,711.40 = 96,248.20 : x
  2. Step 2: Convert to fraction form
    109,807.60/164,711.40 = 96,248.20/x
  3. Step 3: Cross multiply
    109,807.60x = 164,711.40 × 96,248.20
  4. Step 4: Simplify right side
    109,807.60x = 15,853,175,769.48
  5. Step 5: Solve for x
    x = 15,853,175,769.48/109,807.60
  6. Step 6: Final answer
    x = 144,372.30

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1.5x scale

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.