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Finding the Fourth Proportional to 222,766.10, 334,149.15 and 185,368.40

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Solution

The fourth proportional to 222,766.10, 334,149.15 and 185,368.40 is: 278,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,766.10 : 334,149.15 = 185,368.40 : x
  2. Step 2: Convert to fraction form
    222,766.10/334,149.15 = 185,368.40/x
  3. Step 3: Cross multiply
    222,766.10x = 334,149.15 × 185,368.40
  4. Step 4: Simplify right side
    222,766.10x = 61,940,693,296.86
  5. Step 5: Solve for x
    x = 61,940,693,296.86/222,766.10
  6. Step 6: Final answer
    x = 278,052.60

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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.