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Finding the Fourth Proportional to 142,603.79, 213,836.46 and 71,495.88

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Solution

The fourth proportional to 142,603.79, 213,836.46 and 71,495.88 is: 107,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,603.79 : 213,836.46 = 71,495.88 : x
  2. Step 2: Convert to fraction form
    142,603.79/213,836.46 = 71,495.88/x
  3. Step 3: Cross multiply
    142,603.79x = 213,836.46 × 71,495.88
  4. Step 4: Simplify right side
    142,603.79x = 15,288,425,883.78
  5. Step 5: Solve for x
    x = 15,288,425,883.78/142,603.79
  6. Step 6: Final answer
    x = 107,209.12

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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.