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Finding the Fourth Proportional to 165,335.38, 228,164.44 and 89,885.50

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Solution

The fourth proportional to 165,335.38, 228,164.44 and 89,885.50 is: 124,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,335.38 : 228,164.44 = 89,885.50 : x
  2. Step 2: Convert to fraction form
    165,335.38/228,164.44 = 89,885.50/x
  3. Step 3: Cross multiply
    165,335.38x = 228,164.44 × 89,885.50
  4. Step 4: Simplify right side
    165,335.38x = 20,508,674,771.62
  5. Step 5: Solve for x
    x = 20,508,674,771.62/165,335.38
  6. Step 6: Final answer
    x = 124,042.87

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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.