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Finding the Fourth Proportional to 206,830.60, 310,318.80 and 199,540.60

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Solution

The fourth proportional to 206,830.60, 310,318.80 and 199,540.60 is: 299,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,830.60 : 310,318.80 = 199,540.60 : x
  2. Step 2: Convert to fraction form
    206,830.60/310,318.80 = 199,540.60/x
  3. Step 3: Cross multiply
    206,830.60x = 310,318.80 × 199,540.60
  4. Step 4: Simplify right side
    206,830.60x = 61,921,199,543.28
  5. Step 5: Solve for x
    x = 61,921,199,543.28/206,830.60
  6. Step 6: Final answer
    x = 299,381.23

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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.