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Finding the Fourth Proportional to 149,277.48, 206,002.02 and 82,209

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Solution

The fourth proportional to 149,277.48, 206,002.02 and 82,209 is: 113,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,277.48 : 206,002.02 = 82,209 : x
  2. Step 2: Convert to fraction form
    149,277.48/206,002.02 = 82,209/x
  3. Step 3: Cross multiply
    149,277.48x = 206,002.02 × 82,209
  4. Step 4: Simplify right side
    149,277.48x = 16,935,220,062.18
  5. Step 5: Solve for x
    x = 16,935,220,062.18/149,277.48
  6. Step 6: Final answer
    x = 113,447.92

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