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Finding the Fourth Proportional to 218,157.12, 327,298.32 and 180,542.88

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Solution

The fourth proportional to 218,157.12, 327,298.32 and 180,542.88 is: 270,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,157.12 : 327,298.32 = 180,542.88 : x
  2. Step 2: Convert to fraction form
    218,157.12/327,298.32 = 180,542.88/x
  3. Step 3: Cross multiply
    218,157.12x = 327,298.32 × 180,542.88
  4. Step 4: Simplify right side
    218,157.12x = 59,091,381,311.96
  5. Step 5: Solve for x
    x = 59,091,381,311.96/218,157.12
  6. Step 6: Final answer
    x = 270,866.16

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1.5x scale

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.