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Finding the Fourth Proportional to 144,909.20, 217,471.80 and 74,752.40

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Solution

The fourth proportional to 144,909.20, 217,471.80 and 74,752.40 is: 112,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,909.20 : 217,471.80 = 74,752.40 : x
  2. Step 2: Convert to fraction form
    144,909.20/217,471.80 = 74,752.40/x
  3. Step 3: Cross multiply
    144,909.20x = 217,471.80 × 74,752.40
  4. Step 4: Simplify right side
    144,909.20x = 16,256,538,982.32
  5. Step 5: Solve for x
    x = 16,256,538,982.32/144,909.20
  6. Step 6: Final answer
    x = 112,184.31

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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.