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Finding the Fourth Proportional to 169,542.90, 254,314.35 and 51,201.90

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Solution

The fourth proportional to 169,542.90, 254,314.35 and 51,201.90 is: 76,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,542.90 : 254,314.35 = 51,201.90 : x
  2. Step 2: Convert to fraction form
    169,542.90/254,314.35 = 51,201.90/x
  3. Step 3: Cross multiply
    169,542.90x = 254,314.35 × 51,201.90
  4. Step 4: Simplify right side
    169,542.90x = 13,021,377,917.27
  5. Step 5: Solve for x
    x = 13,021,377,917.27/169,542.90
  6. Step 6: Final answer
    x = 76,802.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.