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Finding the Fourth Proportional to 225,948.96, 338,510.34 and 105,785.46

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Solution

The fourth proportional to 225,948.96, 338,510.34 and 105,785.46 is: 158,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,948.96 : 338,510.34 = 105,785.46 : x
  2. Step 2: Convert to fraction form
    225,948.96/338,510.34 = 105,785.46/x
  3. Step 3: Cross multiply
    225,948.96x = 338,510.34 × 105,785.46
  4. Step 4: Simplify right side
    225,948.96x = 35,809,472,031.66
  5. Step 5: Solve for x
    x = 35,809,472,031.66/225,948.96
  6. Step 6: Final answer
    x = 158,484.78

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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.