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Finding the Fourth Proportional to 165,524, 228,423.12 and 90,073.04

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Solution

The fourth proportional to 165,524, 228,423.12 and 90,073.04 is: 124,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,524 : 228,423.12 = 90,073.04 : x
  2. Step 2: Convert to fraction form
    165,524/228,423.12 = 90,073.04/x
  3. Step 3: Cross multiply
    165,524x = 228,423.12 × 90,073.04
  4. Step 4: Simplify right side
    165,524x = 20,574,764,824.68
  5. Step 5: Solve for x
    x = 20,574,764,824.68/165,524
  6. Step 6: Final answer
    x = 124,300.80

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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.