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Finding the Fourth Proportional to 230,861.68, 318,587.84 and 128,881.24

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Solution

The fourth proportional to 230,861.68, 318,587.84 and 128,881.24 is: 177,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,861.68 : 318,587.84 = 128,881.24 : x
  2. Step 2: Convert to fraction form
    230,861.68/318,587.84 = 128,881.24/x
  3. Step 3: Cross multiply
    230,861.68x = 318,587.84 × 128,881.24
  4. Step 4: Simplify right side
    230,861.68x = 41,059,995,868.12
  5. Step 5: Solve for x
    x = 41,059,995,868.12/230,861.68
  6. Step 6: Final answer
    x = 177,855.40

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