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Finding the Fourth Proportional to 165,850, 228,873.16 and 90,398.80

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Solution

The fourth proportional to 165,850, 228,873.16 and 90,398.80 is: 124,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,850 : 228,873.16 = 90,398.80 : x
  2. Step 2: Convert to fraction form
    165,850/228,873.16 = 90,398.80/x
  3. Step 3: Cross multiply
    165,850x = 228,873.16 × 90,398.80
  4. Step 4: Simplify right side
    165,850x = 20,689,859,016.21
  5. Step 5: Solve for x
    x = 20,689,859,016.21/165,850
  6. Step 6: Final answer
    x = 124,750.43

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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.