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Finding the Fourth Proportional to 142,328.96, 196,414 and 78,666.76

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Solution

The fourth proportional to 142,328.96, 196,414 and 78,666.76 is: 108,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,328.96 : 196,414 = 78,666.76 : x
  2. Step 2: Convert to fraction form
    142,328.96/196,414 = 78,666.76/x
  3. Step 3: Cross multiply
    142,328.96x = 196,414 × 78,666.76
  4. Step 4: Simplify right side
    142,328.96x = 15,451,252,998.64
  5. Step 5: Solve for x
    x = 15,451,252,998.64/142,328.96
  6. Step 6: Final answer
    x = 108,560.15

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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.