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Finding the Fourth Proportional to 185,744.88, 256,329 and 100,862.64

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Solution

The fourth proportional to 185,744.88, 256,329 and 100,862.64 is: 139,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,744.88 : 256,329 = 100,862.64 : x
  2. Step 2: Convert to fraction form
    185,744.88/256,329 = 100,862.64/x
  3. Step 3: Cross multiply
    185,744.88x = 256,329 × 100,862.64
  4. Step 4: Simplify right side
    185,744.88x = 25,854,019,648.56
  5. Step 5: Solve for x
    x = 25,854,019,648.56/185,744.88
  6. Step 6: Final answer
    x = 139,191.02

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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.