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Finding the Fourth Proportional to 119,552.67, 164,983.05 and 71,806.80

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Solution

The fourth proportional to 119,552.67, 164,983.05 and 71,806.80 is: 99,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,552.67 : 164,983.05 = 71,806.80 : x
  2. Step 2: Convert to fraction form
    119,552.67/164,983.05 = 71,806.80/x
  3. Step 3: Cross multiply
    119,552.67x = 164,983.05 × 71,806.80
  4. Step 4: Simplify right side
    119,552.67x = 11,846,904,874.74
  5. Step 5: Solve for x
    x = 11,846,904,874.74/119,552.67
  6. Step 6: Final answer
    x = 99,093.60

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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.