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Finding the Fourth Proportional to 225,239.67, 310,695.61 and 148,758.92

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Solution

The fourth proportional to 225,239.67, 310,695.61 and 148,758.92 is: 205,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,239.67 : 310,695.61 = 148,758.92 : x
  2. Step 2: Convert to fraction form
    225,239.67/310,695.61 = 148,758.92/x
  3. Step 3: Cross multiply
    225,239.67x = 310,695.61 × 148,758.92
  4. Step 4: Simplify right side
    225,239.67x = 46,218,741,466.97
  5. Step 5: Solve for x
    x = 46,218,741,466.97/225,239.67
  6. Step 6: Final answer
    x = 205,198.05

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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.