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Finding the Fourth Proportional to 141,082.84, 194,699.93 and 77,422.92

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Solution

The fourth proportional to 141,082.84, 194,699.93 and 77,422.92 is: 106,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,082.84 : 194,699.93 = 77,422.92 : x
  2. Step 2: Convert to fraction form
    141,082.84/194,699.93 = 77,422.92/x
  3. Step 3: Cross multiply
    141,082.84x = 194,699.93 × 77,422.92
  4. Step 4: Simplify right side
    141,082.84x = 15,074,236,324.45
  5. Step 5: Solve for x
    x = 15,074,236,324.45/141,082.84
  6. Step 6: Final answer
    x = 106,846.70

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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.