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Finding the Fourth Proportional to 222,765.60, 334,148.40 and 185,367.90

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Solution

The fourth proportional to 222,765.60, 334,148.40 and 185,367.90 is: 278,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,765.60 : 334,148.40 = 185,367.90 : x
  2. Step 2: Convert to fraction form
    222,765.60/334,148.40 = 185,367.90/x
  3. Step 3: Cross multiply
    222,765.60x = 334,148.40 × 185,367.90
  4. Step 4: Simplify right side
    222,765.60x = 61,940,387,196.36
  5. Step 5: Solve for x
    x = 61,940,387,196.36/222,765.60
  6. Step 6: Final answer
    x = 278,051.85

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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.