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Finding the Fourth Proportional to 149,652.48, 206,520 and 82,584

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Solution

The fourth proportional to 149,652.48, 206,520 and 82,584 is: 113,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,652.48 : 206,520 = 82,584 : x
  2. Step 2: Convert to fraction form
    149,652.48/206,520 = 82,584/x
  3. Step 3: Cross multiply
    149,652.48x = 206,520 × 82,584
  4. Step 4: Simplify right side
    149,652.48x = 17,055,247,680
  5. Step 5: Solve for x
    x = 17,055,247,680/149,652.48
  6. Step 6: Final answer
    x = 113,965.69

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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.