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Finding the Fourth Proportional to 142,391.20, 196,503.80 and 78,733.12

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Solution

The fourth proportional to 142,391.20, 196,503.80 and 78,733.12 is: 108,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,391.20 : 196,503.80 = 78,733.12 : x
  2. Step 2: Convert to fraction form
    142,391.20/196,503.80 = 78,733.12/x
  3. Step 3: Cross multiply
    142,391.20x = 196,503.80 × 78,733.12
  4. Step 4: Simplify right side
    142,391.20x = 15,471,357,265.86
  5. Step 5: Solve for x
    x = 15,471,357,265.86/142,391.20
  6. Step 6: Final answer
    x = 108,653.89

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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.