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Finding the Fourth Proportional to 225,301.68, 338,389.92 and 165,902.76

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Solution

The fourth proportional to 225,301.68, 338,389.92 and 165,902.76 is: 249,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,301.68 : 338,389.92 = 165,902.76 : x
  2. Step 2: Convert to fraction form
    225,301.68/338,389.92 = 165,902.76/x
  3. Step 3: Cross multiply
    225,301.68x = 338,389.92 × 165,902.76
  4. Step 4: Simplify right side
    225,301.68x = 56,139,821,684.18
  5. Step 5: Solve for x
    x = 56,139,821,684.18/225,301.68
  6. Step 6: Final answer
    x = 249,176.22

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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.