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Finding the Fourth Proportional to 218,808.10, 328,082.55 and 113,832.10

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Solution

The fourth proportional to 218,808.10, 328,082.55 and 113,832.10 is: 170,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,808.10 : 328,082.55 = 113,832.10 : x
  2. Step 2: Convert to fraction form
    218,808.10/328,082.55 = 113,832.10/x
  3. Step 3: Cross multiply
    218,808.10x = 328,082.55 × 113,832.10
  4. Step 4: Simplify right side
    218,808.10x = 37,346,325,639.86
  5. Step 5: Solve for x
    x = 37,346,325,639.86/218,808.10
  6. Step 6: Final answer
    x = 170,680.73

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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.