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Finding the Fourth Proportional to 115,101.80, 172,664.22 and 41,212.52

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Solution

The fourth proportional to 115,101.80, 172,664.22 and 41,212.52 is: 61,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,101.80 : 172,664.22 = 41,212.52 : x
  2. Step 2: Convert to fraction form
    115,101.80/172,664.22 = 41,212.52/x
  3. Step 3: Cross multiply
    115,101.80x = 172,664.22 × 41,212.52
  4. Step 4: Simplify right side
    115,101.80x = 7,115,927,620.03
  5. Step 5: Solve for x
    x = 7,115,927,620.03/115,101.80
  6. Step 6: Final answer
    x = 61,822.90

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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.