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Finding the Fourth Proportional to 206,875.60, 310,399.80 and 66,677.20

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Solution

The fourth proportional to 206,875.60, 310,399.80 and 66,677.20 is: 100,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,875.60 : 310,399.80 = 66,677.20 : x
  2. Step 2: Convert to fraction form
    206,875.60/310,399.80 = 66,677.20/x
  3. Step 3: Cross multiply
    206,875.60x = 310,399.80 × 66,677.20
  4. Step 4: Simplify right side
    206,875.60x = 20,696,589,544.56
  5. Step 5: Solve for x
    x = 20,696,589,544.56/206,875.60
  6. Step 6: Final answer
    x = 100,043.65

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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.