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Finding the Fourth Proportional to 206,681.80, 310,022.70 and 66,454.60

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Solution

The fourth proportional to 206,681.80, 310,022.70 and 66,454.60 is: 99,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,681.80 : 310,022.70 = 66,454.60 : x
  2. Step 2: Convert to fraction form
    206,681.80/310,022.70 = 66,454.60/x
  3. Step 3: Cross multiply
    206,681.80x = 310,022.70 × 66,454.60
  4. Step 4: Simplify right side
    206,681.80x = 20,602,434,519.42
  5. Step 5: Solve for x
    x = 20,602,434,519.42/206,681.80
  6. Step 6: Final answer
    x = 99,681.90

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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.