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Finding the Fourth Proportional to 149,527.42, 206,347.80 and 82,459.42

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Solution

The fourth proportional to 149,527.42, 206,347.80 and 82,459.42 is: 113,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,527.42 : 206,347.80 = 82,459.42 : x
  2. Step 2: Convert to fraction form
    149,527.42/206,347.80 = 82,459.42/x
  3. Step 3: Cross multiply
    149,527.42x = 206,347.80 × 82,459.42
  4. Step 4: Simplify right side
    149,527.42x = 17,015,319,906.28
  5. Step 5: Solve for x
    x = 17,015,319,906.28/149,527.42
  6. Step 6: Final answer
    x = 113,793.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.