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Finding the Fourth Proportional to 142,480.38, 196,622.13 and 78,816.81

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Solution

The fourth proportional to 142,480.38, 196,622.13 and 78,816.81 is: 108,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,480.38 : 196,622.13 = 78,816.81 : x
  2. Step 2: Convert to fraction form
    142,480.38/196,622.13 = 78,816.81/x
  3. Step 3: Cross multiply
    142,480.38x = 196,622.13 × 78,816.81
  4. Step 4: Simplify right side
    142,480.38x = 15,497,129,062.01
  5. Step 5: Solve for x
    x = 15,497,129,062.01/142,480.38
  6. Step 6: Final answer
    x = 108,766.76

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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.