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Finding the Fourth Proportional to 142,301.20, 213,221.40 and 89,616.40

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Solution

The fourth proportional to 142,301.20, 213,221.40 and 89,616.40 is: 134,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,301.20 : 213,221.40 = 89,616.40 : x
  2. Step 2: Convert to fraction form
    142,301.20/213,221.40 = 89,616.40/x
  3. Step 3: Cross multiply
    142,301.20x = 213,221.40 × 89,616.40
  4. Step 4: Simplify right side
    142,301.20x = 19,108,134,270.96
  5. Step 5: Solve for x
    x = 19,108,134,270.96/142,301.20
  6. Step 6: Final answer
    x = 134,279.50

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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.