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Finding the Fourth Proportional to 222,008.60, 332,356.80 and 147,213.20

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Solution

The fourth proportional to 222,008.60, 332,356.80 and 147,213.20 is: 220,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,008.60 : 332,356.80 = 147,213.20 : x
  2. Step 2: Convert to fraction form
    222,008.60/332,356.80 = 147,213.20/x
  3. Step 3: Cross multiply
    222,008.60x = 332,356.80 × 147,213.20
  4. Step 4: Simplify right side
    222,008.60x = 48,927,308,069.76
  5. Step 5: Solve for x
    x = 48,927,308,069.76/222,008.60
  6. Step 6: Final answer
    x = 220,384.74

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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.