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Finding the Fourth Proportional to 148,658.29, 205,081.46 and 88,231.48

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Solution

The fourth proportional to 148,658.29, 205,081.46 and 88,231.48 is: 121,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,658.29 : 205,081.46 = 88,231.48 : x
  2. Step 2: Convert to fraction form
    148,658.29/205,081.46 = 88,231.48/x
  3. Step 3: Cross multiply
    148,658.29x = 205,081.46 × 88,231.48
  4. Step 4: Simplify right side
    148,658.29x = 18,094,640,736.36
  5. Step 5: Solve for x
    x = 18,094,640,736.36/148,658.29
  6. Step 6: Final answer
    x = 121,719.69

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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.