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Finding the Fourth Proportional to 142,131.76, 196,142.12 and 78,469.68

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Solution

The fourth proportional to 142,131.76, 196,142.12 and 78,469.68 is: 108,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,131.76 : 196,142.12 = 78,469.68 : x
  2. Step 2: Convert to fraction form
    142,131.76/196,142.12 = 78,469.68/x
  3. Step 3: Cross multiply
    142,131.76x = 196,142.12 × 78,469.68
  4. Step 4: Simplify right side
    142,131.76x = 15,391,209,390.92
  5. Step 5: Solve for x
    x = 15,391,209,390.92/142,131.76
  6. Step 6: Final answer
    x = 108,288.32

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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.