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Finding the Fourth Proportional to 141,082.47, 194,699.42 and 77,422.54

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Solution

The fourth proportional to 141,082.47, 194,699.42 and 77,422.54 is: 106,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,082.47 : 194,699.42 = 77,422.54 : x
  2. Step 2: Convert to fraction form
    141,082.47/194,699.42 = 77,422.54/x
  3. Step 3: Cross multiply
    141,082.47x = 194,699.42 × 77,422.54
  4. Step 4: Simplify right side
    141,082.47x = 15,074,123,245.81
  5. Step 5: Solve for x
    x = 15,074,123,245.81/141,082.47
  6. Step 6: Final answer
    x = 106,846.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.