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Finding the Fourth Proportional to 113,983.70, 171,024.76 and 61,382.70

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Solution

The fourth proportional to 113,983.70, 171,024.76 and 61,382.70 is: 92,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,983.70 : 171,024.76 = 61,382.70 : x
  2. Step 2: Convert to fraction form
    113,983.70/171,024.76 = 61,382.70/x
  3. Step 3: Cross multiply
    113,983.70x = 171,024.76 × 61,382.70
  4. Step 4: Simplify right side
    113,983.70x = 10,497,961,535.65
  5. Step 5: Solve for x
    x = 10,497,961,535.65/113,983.70
  6. Step 6: Final answer
    x = 92,100.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.