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Finding the Fourth Proportional to 110,471.20, 165,706.80 and 101,917.60

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Solution

The fourth proportional to 110,471.20, 165,706.80 and 101,917.60 is: 152,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,471.20 : 165,706.80 = 101,917.60 : x
  2. Step 2: Convert to fraction form
    110,471.20/165,706.80 = 101,917.60/x
  3. Step 3: Cross multiply
    110,471.20x = 165,706.80 × 101,917.60
  4. Step 4: Simplify right side
    110,471.20x = 16,888,439,359.68
  5. Step 5: Solve for x
    x = 16,888,439,359.68/110,471.20
  6. Step 6: Final answer
    x = 152,876.40

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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.