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Finding the Fourth Proportional to 142,121.70, 196,122.81 and 78,458.13

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Solution

The fourth proportional to 142,121.70, 196,122.81 and 78,458.13 is: 108,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,121.70 : 196,122.81 = 78,458.13 : x
  2. Step 2: Convert to fraction form
    142,121.70/196,122.81 = 78,458.13/x
  3. Step 3: Cross multiply
    142,121.70x = 196,122.81 × 78,458.13
  4. Step 4: Simplify right side
    142,121.70x = 15,387,428,922.95
  5. Step 5: Solve for x
    x = 15,387,428,922.95/142,121.70
  6. Step 6: Final answer
    x = 108,269.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.