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Finding the Fourth Proportional to 225,243.68, 338,302.92 and 165,844.76

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Solution

The fourth proportional to 225,243.68, 338,302.92 and 165,844.76 is: 249,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,243.68 : 338,302.92 = 165,844.76 : x
  2. Step 2: Convert to fraction form
    225,243.68/338,302.92 = 165,844.76/x
  3. Step 3: Cross multiply
    225,243.68x = 338,302.92 × 165,844.76
  4. Step 4: Simplify right side
    225,243.68x = 56,105,766,574.70
  5. Step 5: Solve for x
    x = 56,105,766,574.70/225,243.68
  6. Step 6: Final answer
    x = 249,089.19

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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.