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Finding the Fourth Proportional to 127,832.22, 176,414.49 and 71,244

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Solution

The fourth proportional to 127,832.22, 176,414.49 and 71,244 is: 98,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,832.22 : 176,414.49 = 71,244 : x
  2. Step 2: Convert to fraction form
    127,832.22/176,414.49 = 71,244/x
  3. Step 3: Cross multiply
    127,832.22x = 176,414.49 × 71,244
  4. Step 4: Simplify right side
    127,832.22x = 12,568,473,925.56
  5. Step 5: Solve for x
    x = 12,568,473,925.56/127,832.22
  6. Step 6: Final answer
    x = 98,320.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.