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Finding the Fourth Proportional to 142,781.87, 197,039.01 and 78,253.67

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Solution

The fourth proportional to 142,781.87, 197,039.01 and 78,253.67 is: 107,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,781.87 : 197,039.01 = 78,253.67 : x
  2. Step 2: Convert to fraction form
    142,781.87/197,039.01 = 78,253.67/x
  3. Step 3: Cross multiply
    142,781.87x = 197,039.01 × 78,253.67
  4. Step 4: Simplify right side
    142,781.87x = 15,419,024,901.22
  5. Step 5: Solve for x
    x = 15,419,024,901.22/142,781.87
  6. Step 6: Final answer
    x = 107,990.08

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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.