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Finding the Fourth Proportional to 265,551.59, 398,493.35 and 107,780.04

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Solution

The fourth proportional to 265,551.59, 398,493.35 and 107,780.04 is: 161,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,551.59 : 398,493.35 = 107,780.04 : x
  2. Step 2: Convert to fraction form
    265,551.59/398,493.35 = 107,780.04/x
  3. Step 3: Cross multiply
    265,551.59x = 398,493.35 × 107,780.04
  4. Step 4: Simplify right side
    265,551.59x = 42,949,629,202.73
  5. Step 5: Solve for x
    x = 42,949,629,202.73/265,551.59
  6. Step 6: Final answer
    x = 161,737.42

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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.