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Finding the Fourth Proportional to 222,219.68, 306,344.40 and 158,446.88

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Solution

The fourth proportional to 222,219.68, 306,344.40 and 158,446.88 is: 218,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,219.68 : 306,344.40 = 158,446.88 : x
  2. Step 2: Convert to fraction form
    222,219.68/306,344.40 = 158,446.88/x
  3. Step 3: Cross multiply
    222,219.68x = 306,344.40 × 158,446.88
  4. Step 4: Simplify right side
    222,219.68x = 48,539,314,385.47
  5. Step 5: Solve for x
    x = 48,539,314,385.47/222,219.68
  6. Step 6: Final answer
    x = 218,429.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.