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Finding the Fourth Proportional to 165,083.20, 247,624.80 and 123,092.80

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Solution

The fourth proportional to 165,083.20, 247,624.80 and 123,092.80 is: 184,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,083.20 : 247,624.80 = 123,092.80 : x
  2. Step 2: Convert to fraction form
    165,083.20/247,624.80 = 123,092.80/x
  3. Step 3: Cross multiply
    165,083.20x = 247,624.80 × 123,092.80
  4. Step 4: Simplify right side
    165,083.20x = 30,480,829,981.44
  5. Step 5: Solve for x
    x = 30,480,829,981.44/165,083.20
  6. Step 6: Final answer
    x = 184,639.20

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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.