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Finding the Fourth Proportional to 204,034.61, 306,103.75 and 119,865.93

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Solution

The fourth proportional to 204,034.61, 306,103.75 and 119,865.93 is: 179,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,034.61 : 306,103.75 = 119,865.93 : x
  2. Step 2: Convert to fraction form
    204,034.61/306,103.75 = 119,865.93/x
  3. Step 3: Cross multiply
    204,034.61x = 306,103.75 × 119,865.93
  4. Step 4: Simplify right side
    204,034.61x = 36,691,410,370.57
  5. Step 5: Solve for x
    x = 36,691,410,370.57/204,034.61
  6. Step 6: Final answer
    x = 179,829.35

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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.