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Finding the Fourth Proportional to 180,221.76, 270,482.40 and 96,073.92

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Solution

The fourth proportional to 180,221.76, 270,482.40 and 96,073.92 is: 144,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,221.76 : 270,482.40 = 96,073.92 : x
  2. Step 2: Convert to fraction form
    180,221.76/270,482.40 = 96,073.92/x
  3. Step 3: Cross multiply
    180,221.76x = 270,482.40 × 96,073.92
  4. Step 4: Simplify right side
    180,221.76x = 25,986,304,459.01
  5. Step 5: Solve for x
    x = 25,986,304,459.01/180,221.76
  6. Step 6: Final answer
    x = 144,190.72

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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.