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Finding the Fourth Proportional to 273,691.30, 409,552.80 and 185,117.80

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Solution

The fourth proportional to 273,691.30, 409,552.80 and 185,117.80 is: 277,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,691.30 : 409,552.80 = 185,117.80 : x
  2. Step 2: Convert to fraction form
    273,691.30/409,552.80 = 185,117.80/x
  3. Step 3: Cross multiply
    273,691.30x = 409,552.80 × 185,117.80
  4. Step 4: Simplify right side
    273,691.30x = 75,815,513,319.84
  5. Step 5: Solve for x
    x = 75,815,513,319.84/273,691.30
  6. Step 6: Final answer
    x = 277,011.05

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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.