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Finding the Fourth Proportional to 218,984.60, 328,563.30 and 85,842.20

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Solution

The fourth proportional to 218,984.60, 328,563.30 and 85,842.20 is: 128,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,984.60 : 328,563.30 = 85,842.20 : x
  2. Step 2: Convert to fraction form
    218,984.60/328,563.30 = 85,842.20/x
  3. Step 3: Cross multiply
    218,984.60x = 328,563.30 × 85,842.20
  4. Step 4: Simplify right side
    218,984.60x = 28,204,596,511.26
  5. Step 5: Solve for x
    x = 28,204,596,511.26/218,984.60
  6. Step 6: Final answer
    x = 128,797.17

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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.