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Finding the Fourth Proportional to 179,513.52, 269,260.53 and 54,854.52

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Solution

The fourth proportional to 179,513.52, 269,260.53 and 54,854.52 is: 82,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,513.52 : 269,260.53 = 54,854.52 : x
  2. Step 2: Convert to fraction form
    179,513.52/269,260.53 = 54,854.52/x
  3. Step 3: Cross multiply
    179,513.52x = 269,260.53 × 54,854.52
  4. Step 4: Simplify right side
    179,513.52x = 14,770,157,128.10
  5. Step 5: Solve for x
    x = 14,770,157,128.10/179,513.52
  6. Step 6: Final answer
    x = 82,278.80

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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.