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Finding the Fourth Proportional to 155,290.88, 232,944.96 and 44,480

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Solution

The fourth proportional to 155,290.88, 232,944.96 and 44,480 is: 66,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,290.88 : 232,944.96 = 44,480 : x
  2. Step 2: Convert to fraction form
    155,290.88/232,944.96 = 44,480/x
  3. Step 3: Cross multiply
    155,290.88x = 232,944.96 × 44,480
  4. Step 4: Simplify right side
    155,290.88x = 10,361,391,820.80
  5. Step 5: Solve for x
    x = 10,361,391,820.80/155,290.88
  6. Step 6: Final answer
    x = 66,722.47

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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.