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Finding the Fourth Proportional to 142,425.36, 196,529.40 and 78,764.40

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Solution

The fourth proportional to 142,425.36, 196,529.40 and 78,764.40 is: 108,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,425.36 : 196,529.40 = 78,764.40 : x
  2. Step 2: Convert to fraction form
    142,425.36/196,529.40 = 78,764.40/x
  3. Step 3: Cross multiply
    142,425.36x = 196,529.40 × 78,764.40
  4. Step 4: Simplify right side
    142,425.36x = 15,479,520,273.36
  5. Step 5: Solve for x
    x = 15,479,520,273.36/142,425.36
  6. Step 6: Final answer
    x = 108,685.14

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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.