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Finding the Fourth Proportional to 215,314.60, 322,842.30 and 110,338.60

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Solution

The fourth proportional to 215,314.60, 322,842.30 and 110,338.60 is: 165,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,314.60 : 322,842.30 = 110,338.60 : x
  2. Step 2: Convert to fraction form
    215,314.60/322,842.30 = 110,338.60/x
  3. Step 3: Cross multiply
    215,314.60x = 322,842.30 × 110,338.60
  4. Step 4: Simplify right side
    215,314.60x = 35,621,967,402.78
  5. Step 5: Solve for x
    x = 35,621,967,402.78/215,314.60
  6. Step 6: Final answer
    x = 165,441.49

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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.