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Finding the Fourth Proportional to 222,761.60, 334,142.40 and 185,363.90

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Solution

The fourth proportional to 222,761.60, 334,142.40 and 185,363.90 is: 278,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,761.60 : 334,142.40 = 185,363.90 : x
  2. Step 2: Convert to fraction form
    222,761.60/334,142.40 = 185,363.90/x
  3. Step 3: Cross multiply
    222,761.60x = 334,142.40 × 185,363.90
  4. Step 4: Simplify right side
    222,761.60x = 61,937,938,419.36
  5. Step 5: Solve for x
    x = 61,937,938,419.36/222,761.60
  6. Step 6: Final answer
    x = 278,045.85

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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.