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Finding the Fourth Proportional to 141,082.68, 194,693.54 and 77,420.32

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Solution

The fourth proportional to 141,082.68, 194,693.54 and 77,420.32 is: 106,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,082.68 : 194,693.54 = 77,420.32 : x
  2. Step 2: Convert to fraction form
    141,082.68/194,693.54 = 77,420.32/x
  3. Step 3: Cross multiply
    141,082.68x = 194,693.54 × 77,420.32
  4. Step 4: Simplify right side
    141,082.68x = 15,073,236,168.73
  5. Step 5: Solve for x
    x = 15,073,236,168.73/141,082.68
  6. Step 6: Final answer
    x = 106,839.74

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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.