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Finding the Fourth Proportional to 206,902.40, 310,353.60 and 88,585.70

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Solution

The fourth proportional to 206,902.40, 310,353.60 and 88,585.70 is: 132,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,902.40 : 310,353.60 = 88,585.70 : x
  2. Step 2: Convert to fraction form
    206,902.40/310,353.60 = 88,585.70/x
  3. Step 3: Cross multiply
    206,902.40x = 310,353.60 × 88,585.70
  4. Step 4: Simplify right side
    206,902.40x = 27,492,890,903.52
  5. Step 5: Solve for x
    x = 27,492,890,903.52/206,902.40
  6. Step 6: Final answer
    x = 132,878.55

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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.