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Finding the Fourth Proportional to 281,711.50, 422,478.03 and 92,128.06

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Solution

The fourth proportional to 281,711.50, 422,478.03 and 92,128.06 is: 138,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,711.50 : 422,478.03 = 92,128.06 : x
  2. Step 2: Convert to fraction form
    281,711.50/422,478.03 = 92,128.06/x
  3. Step 3: Cross multiply
    281,711.50x = 422,478.03 × 92,128.06
  4. Step 4: Simplify right side
    281,711.50x = 38,922,081,296.52
  5. Step 5: Solve for x
    x = 38,922,081,296.52/281,711.50
  6. Step 6: Final answer
    x = 138,162.91

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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.