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Finding the Fourth Proportional to 206,815.20, 310,276.80 and 66,577.20

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Solution

The fourth proportional to 206,815.20, 310,276.80 and 66,577.20 is: 99,883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,815.20 : 310,276.80 = 66,577.20 : x
  2. Step 2: Convert to fraction form
    206,815.20/310,276.80 = 66,577.20/x
  3. Step 3: Cross multiply
    206,815.20x = 310,276.80 × 66,577.20
  4. Step 4: Simplify right side
    206,815.20x = 20,657,360,568.96
  5. Step 5: Solve for x
    x = 20,657,360,568.96/206,815.20
  6. Step 6: Final answer
    x = 99,883.18

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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.