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Finding the Fourth Proportional to 142,152.56, 196,165.39 and 78,488.99

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Solution

The fourth proportional to 142,152.56, 196,165.39 and 78,488.99 is: 108,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,152.56 : 196,165.39 = 78,488.99 : x
  2. Step 2: Convert to fraction form
    142,152.56/196,165.39 = 78,488.99/x
  3. Step 3: Cross multiply
    142,152.56x = 196,165.39 × 78,488.99
  4. Step 4: Simplify right side
    142,152.56x = 15,396,823,334.06
  5. Step 5: Solve for x
    x = 15,396,823,334.06/142,152.56
  6. Step 6: Final answer
    x = 108,311.97

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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.