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Finding the Fourth Proportional to 218,963.60, 328,056.60 and 204,966.80

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Solution

The fourth proportional to 218,963.60, 328,056.60 and 204,966.80 is: 307,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,963.60 : 328,056.60 = 204,966.80 : x
  2. Step 2: Convert to fraction form
    218,963.60/328,056.60 = 204,966.80/x
  3. Step 3: Cross multiply
    218,963.60x = 328,056.60 × 204,966.80
  4. Step 4: Simplify right side
    218,963.60x = 67,240,711,520.88
  5. Step 5: Solve for x
    x = 67,240,711,520.88/218,963.60
  6. Step 6: Final answer
    x = 307,086.25

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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.