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Finding the Fourth Proportional to 142,507.80, 213,620.70 and 67,496.10

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Solution

The fourth proportional to 142,507.80, 213,620.70 and 67,496.10 is: 101,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,507.80 : 213,620.70 = 67,496.10 : x
  2. Step 2: Convert to fraction form
    142,507.80/213,620.70 = 67,496.10/x
  3. Step 3: Cross multiply
    142,507.80x = 213,620.70 × 67,496.10
  4. Step 4: Simplify right side
    142,507.80x = 14,418,564,129.27
  5. Step 5: Solve for x
    x = 14,418,564,129.27/142,507.80
  6. Step 6: Final answer
    x = 101,177.37

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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.