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Finding the Fourth Proportional to 142,462.40, 196,599.84 and 78,798.56

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Solution

The fourth proportional to 142,462.40, 196,599.84 and 78,798.56 is: 108,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,462.40 : 196,599.84 = 78,798.56 : x
  2. Step 2: Convert to fraction form
    142,462.40/196,599.84 = 78,798.56/x
  3. Step 3: Cross multiply
    142,462.40x = 196,599.84 × 78,798.56
  4. Step 4: Simplify right side
    142,462.40x = 15,491,784,288.23
  5. Step 5: Solve for x
    x = 15,491,784,288.23/142,462.40
  6. Step 6: Final answer
    x = 108,742.97

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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.