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Finding the Fourth Proportional to 165,326, 228,151.50 and 89,876.12

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Solution

The fourth proportional to 165,326, 228,151.50 and 89,876.12 is: 124,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,326 : 228,151.50 = 89,876.12 : x
  2. Step 2: Convert to fraction form
    165,326/228,151.50 = 89,876.12/x
  3. Step 3: Cross multiply
    165,326x = 228,151.50 × 89,876.12
  4. Step 4: Simplify right side
    165,326x = 20,505,371,592.18
  5. Step 5: Solve for x
    x = 20,505,371,592.18/165,326
  6. Step 6: Final answer
    x = 124,029.93

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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.