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Finding the Fourth Proportional to 165,231.72, 228,021.15 and 89,780.22

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Solution

The fourth proportional to 165,231.72, 228,021.15 and 89,780.22 is: 123,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,231.72 : 228,021.15 = 89,780.22 : x
  2. Step 2: Convert to fraction form
    165,231.72/228,021.15 = 89,780.22/x
  3. Step 3: Cross multiply
    165,231.72x = 228,021.15 × 89,780.22
  4. Step 4: Simplify right side
    165,231.72x = 20,471,787,422.65
  5. Step 5: Solve for x
    x = 20,471,787,422.65/165,231.72
  6. Step 6: Final answer
    x = 123,897.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.