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Finding the Fourth Proportional to 165,321.88, 228,144.33 and 89,870.38

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Solution

The fourth proportional to 165,321.88, 228,144.33 and 89,870.38 is: 124,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,321.88 : 228,144.33 = 89,870.38 : x
  2. Step 2: Convert to fraction form
    165,321.88/228,144.33 = 89,870.38/x
  3. Step 3: Cross multiply
    165,321.88x = 228,144.33 × 89,870.38
  4. Step 4: Simplify right side
    165,321.88x = 20,503,417,061.58
  5. Step 5: Solve for x
    x = 20,503,417,061.58/165,321.88
  6. Step 6: Final answer
    x = 124,021.20

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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.