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Finding the Fourth Proportional to 185,414.40, 278,121.60 and 165,731.40

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Solution

The fourth proportional to 185,414.40, 278,121.60 and 165,731.40 is: 248,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,414.40 : 278,121.60 = 165,731.40 : x
  2. Step 2: Convert to fraction form
    185,414.40/278,121.60 = 165,731.40/x
  3. Step 3: Cross multiply
    185,414.40x = 278,121.60 × 165,731.40
  4. Step 4: Simplify right side
    185,414.40x = 46,093,482,138.24
  5. Step 5: Solve for x
    x = 46,093,482,138.24/185,414.40
  6. Step 6: Final answer
    x = 248,597.10

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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.