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Finding the Fourth Proportional to 174,163.16, 240,367.40 and 102,549.85

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Solution

The fourth proportional to 174,163.16, 240,367.40 and 102,549.85 is: 141,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,163.16 : 240,367.40 = 102,549.85 : x
  2. Step 2: Convert to fraction form
    174,163.16/240,367.40 = 102,549.85/x
  3. Step 3: Cross multiply
    174,163.16x = 240,367.40 × 102,549.85
  4. Step 4: Simplify right side
    174,163.16x = 24,649,640,085.78
  5. Step 5: Solve for x
    x = 24,649,640,085.78/174,163.16
  6. Step 6: Final answer
    x = 141,531.88

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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.