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Finding the Fourth Proportional to 165,403.31, 228,160.17 and 120,028.50

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Solution

The fourth proportional to 165,403.31, 228,160.17 and 120,028.50 is: 165,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,403.31 : 228,160.17 = 120,028.50 : x
  2. Step 2: Convert to fraction form
    165,403.31/228,160.17 = 120,028.50/x
  3. Step 3: Cross multiply
    165,403.31x = 228,160.17 × 120,028.50
  4. Step 4: Simplify right side
    165,403.31x = 27,385,722,964.85
  5. Step 5: Solve for x
    x = 27,385,722,964.85/165,403.31
  6. Step 6: Final answer
    x = 165,569.38

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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.