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Finding the Fourth Proportional to 254,016, 381,109.32 and 178,193.52

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Solution

The fourth proportional to 254,016, 381,109.32 and 178,193.52 is: 267,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,016 : 381,109.32 = 178,193.52 : x
  2. Step 2: Convert to fraction form
    254,016/381,109.32 = 178,193.52/x
  3. Step 3: Cross multiply
    254,016x = 381,109.32 × 178,193.52
  4. Step 4: Simplify right side
    254,016x = 67,911,211,235.61
  5. Step 5: Solve for x
    x = 67,911,211,235.61/254,016
  6. Step 6: Final answer
    x = 267,350.13

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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.