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Finding the Fourth Proportional to 222,902.60, 334,276.13 and 98,175.56

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Solution

The fourth proportional to 222,902.60, 334,276.13 and 98,175.56 is: 147,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,902.60 : 334,276.13 = 98,175.56 : x
  2. Step 2: Convert to fraction form
    222,902.60/334,276.13 = 98,175.56/x
  3. Step 3: Cross multiply
    222,902.60x = 334,276.13 × 98,175.56
  4. Step 4: Simplify right side
    222,902.60x = 32,817,744,831.44
  5. Step 5: Solve for x
    x = 32,817,744,831.44/222,902.60
  6. Step 6: Final answer
    x = 147,229.08

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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.