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Finding the Fourth Proportional to 179,871.98, 269,512.68 and 61,478.72

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Solution

The fourth proportional to 179,871.98, 269,512.68 and 61,478.72 is: 92,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,871.98 : 269,512.68 = 61,478.72 : x
  2. Step 2: Convert to fraction form
    179,871.98/269,512.68 = 61,478.72/x
  3. Step 3: Cross multiply
    179,871.98x = 269,512.68 × 61,478.72
  4. Step 4: Simplify right side
    179,871.98x = 16,569,294,590.17
  5. Step 5: Solve for x
    x = 16,569,294,590.17/179,871.98
  6. Step 6: Final answer
    x = 92,117.15

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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.