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Finding the Fourth Proportional to 165,475.34, 228,356.97 and 90,024.38

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Solution

The fourth proportional to 165,475.34, 228,356.97 and 90,024.38 is: 124,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,475.34 : 228,356.97 = 90,024.38 : x
  2. Step 2: Convert to fraction form
    165,475.34/228,356.97 = 90,024.38/x
  3. Step 3: Cross multiply
    165,475.34x = 228,356.97 × 90,024.38
  4. Step 4: Simplify right side
    165,475.34x = 20,557,694,876.23
  5. Step 5: Solve for x
    x = 20,557,694,876.23/165,475.34
  6. Step 6: Final answer
    x = 124,234.19

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Why These Related Problems?

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