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Finding the Fourth Proportional to 142,086.65, 196,079.20 and 78,424.01

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Solution

The fourth proportional to 142,086.65, 196,079.20 and 78,424.01 is: 108,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086.65 : 196,079.20 = 78,424.01 : x
  2. Step 2: Convert to fraction form
    142,086.65/196,079.20 = 78,424.01/x
  3. Step 3: Cross multiply
    142,086.65x = 196,079.20 × 78,424.01
  4. Step 4: Simplify right side
    142,086.65x = 15,377,317,141.59
  5. Step 5: Solve for x
    x = 15,377,317,141.59/142,086.65
  6. Step 6: Final answer
    x = 108,224.93

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