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Finding the Fourth Proportional to 225,302.68, 338,391.42 and 165,903.76

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Solution

The fourth proportional to 225,302.68, 338,391.42 and 165,903.76 is: 249,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,302.68 : 338,391.42 = 165,903.76 : x
  2. Step 2: Convert to fraction form
    225,302.68/338,391.42 = 165,903.76/x
  3. Step 3: Cross multiply
    225,302.68x = 338,391.42 × 165,903.76
  4. Step 4: Simplify right side
    225,302.68x = 56,140,408,929.74
  5. Step 5: Solve for x
    x = 56,140,408,929.74/225,302.68
  6. Step 6: Final answer
    x = 249,177.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.