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Finding the Fourth Proportional to 218,867.20, 328,057.80 and 85,703.20

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Solution

The fourth proportional to 218,867.20, 328,057.80 and 85,703.20 is: 128,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,867.20 : 328,057.80 = 85,703.20 : x
  2. Step 2: Convert to fraction form
    218,867.20/328,057.80 = 85,703.20/x
  3. Step 3: Cross multiply
    218,867.20x = 328,057.80 × 85,703.20
  4. Step 4: Simplify right side
    218,867.20x = 28,115,603,244.96
  5. Step 5: Solve for x
    x = 28,115,603,244.96/218,867.20
  6. Step 6: Final answer
    x = 128,459.65

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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.