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Finding the Fourth Proportional to 204,711.76, 306,859.60 and 84,833.92

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Solution

The fourth proportional to 204,711.76, 306,859.60 and 84,833.92 is: 127,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,711.76 : 306,859.60 = 84,833.92 : x
  2. Step 2: Convert to fraction form
    204,711.76/306,859.60 = 84,833.92/x
  3. Step 3: Cross multiply
    204,711.76x = 306,859.60 × 84,833.92
  4. Step 4: Simplify right side
    204,711.76x = 26,032,103,871.70
  5. Step 5: Solve for x
    x = 26,032,103,871.70/204,711.76
  6. Step 6: Final answer
    x = 127,164.67

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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.