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Finding the Fourth Proportional to 165,375, 228,217.50 and 89,924.04

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Solution

The fourth proportional to 165,375, 228,217.50 and 89,924.04 is: 124,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,375 : 228,217.50 = 89,924.04 : x
  2. Step 2: Convert to fraction form
    165,375/228,217.50 = 89,924.04/x
  3. Step 3: Cross multiply
    165,375x = 228,217.50 × 89,924.04
  4. Step 4: Simplify right side
    165,375x = 20,522,239,598.70
  5. Step 5: Solve for x
    x = 20,522,239,598.70/165,375
  6. Step 6: Final answer
    x = 124,095.18

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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.