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Finding the Fourth Proportional to 215,232.20, 322,751.10 and 96,842.60

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Solution

The fourth proportional to 215,232.20, 322,751.10 and 96,842.60 is: 145,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,232.20 : 322,751.10 = 96,842.60 : x
  2. Step 2: Convert to fraction form
    215,232.20/322,751.10 = 96,842.60/x
  3. Step 3: Cross multiply
    215,232.20x = 322,751.10 × 96,842.60
  4. Step 4: Simplify right side
    215,232.20x = 31,256,055,676.86
  5. Step 5: Solve for x
    x = 31,256,055,676.86/215,232.20
  6. Step 6: Final answer
    x = 145,220.17

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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.