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Finding the Fourth Proportional to 142,088.46, 196,080.39 and 78,424.89

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Solution

The fourth proportional to 142,088.46, 196,080.39 and 78,424.89 is: 108,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,088.46 : 196,080.39 = 78,424.89 : x
  2. Step 2: Convert to fraction form
    142,088.46/196,080.39 = 78,424.89/x
  3. Step 3: Cross multiply
    142,088.46x = 196,080.39 × 78,424.89
  4. Step 4: Simplify right side
    142,088.46x = 15,377,583,016.91
  5. Step 5: Solve for x
    x = 15,377,583,016.91/142,088.46
  6. Step 6: Final answer
    x = 108,225.42

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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.