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Finding the Fourth Proportional to 141,084.84, 194,702.70 and 77,424.92

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Solution

The fourth proportional to 141,084.84, 194,702.70 and 77,424.92 is: 106,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,084.84 : 194,702.70 = 77,424.92 : x
  2. Step 2: Convert to fraction form
    141,084.84/194,702.70 = 77,424.92/x
  3. Step 3: Cross multiply
    141,084.84x = 194,702.70 × 77,424.92
  4. Step 4: Simplify right side
    141,084.84x = 15,074,839,610.65
  5. Step 5: Solve for x
    x = 15,074,839,610.65/141,084.84
  6. Step 6: Final answer
    x = 106,849.46

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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.