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Finding the Fourth Proportional to 142,601.05, 213,829.50 and 83,454.49

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Solution

The fourth proportional to 142,601.05, 213,829.50 and 83,454.49 is: 125,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,601.05 : 213,829.50 = 83,454.49 : x
  2. Step 2: Convert to fraction form
    142,601.05/213,829.50 = 83,454.49/x
  3. Step 3: Cross multiply
    142,601.05x = 213,829.50 × 83,454.49
  4. Step 4: Simplify right side
    142,601.05x = 17,845,031,452.18
  5. Step 5: Solve for x
    x = 17,845,031,452.18/142,601.05
  6. Step 6: Final answer
    x = 125,139.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.