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Finding the Fourth Proportional to 179,677.80, 269,540.70 and 61,319.40

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Solution

The fourth proportional to 179,677.80, 269,540.70 and 61,319.40 is: 91,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,677.80 : 269,540.70 = 61,319.40 : x
  2. Step 2: Convert to fraction form
    179,677.80/269,540.70 = 61,319.40/x
  3. Step 3: Cross multiply
    179,677.80x = 269,540.70 × 61,319.40
  4. Step 4: Simplify right side
    179,677.80x = 16,528,073,999.58
  5. Step 5: Solve for x
    x = 16,528,073,999.58/179,677.80
  6. Step 6: Final answer
    x = 91,987.29

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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.