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Finding the Fourth Proportional to 105,141.54, 157,711.50 and 26,255.24

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Solution

The fourth proportional to 105,141.54, 157,711.50 and 26,255.24 is: 39,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,141.54 : 157,711.50 = 26,255.24 : x
  2. Step 2: Convert to fraction form
    105,141.54/157,711.50 = 26,255.24/x
  3. Step 3: Cross multiply
    105,141.54x = 157,711.50 × 26,255.24
  4. Step 4: Simplify right side
    105,141.54x = 4,140,752,494.70
  5. Step 5: Solve for x
    x = 4,140,752,494.70/105,141.54
  6. Step 6: Final answer
    x = 39,382.65

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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.