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Finding the Fourth Proportional to 177,157.80, 244,327.35 and 149,697

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Solution

The fourth proportional to 177,157.80, 244,327.35 and 149,697 is: 206,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,157.80 : 244,327.35 = 149,697 : x
  2. Step 2: Convert to fraction form
    177,157.80/244,327.35 = 149,697/x
  3. Step 3: Cross multiply
    177,157.80x = 244,327.35 × 149,697
  4. Step 4: Simplify right side
    177,157.80x = 36,575,071,312.95
  5. Step 5: Solve for x
    x = 36,575,071,312.95/177,157.80
  6. Step 6: Final answer
    x = 206,454.76

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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.