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Finding the Fourth Proportional to 222,652.48, 307,147.46 and 140,842.88

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Solution

The fourth proportional to 222,652.48, 307,147.46 and 140,842.88 is: 194,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,652.48 : 307,147.46 = 140,842.88 : x
  2. Step 2: Convert to fraction form
    222,652.48/307,147.46 = 140,842.88/x
  3. Step 3: Cross multiply
    222,652.48x = 307,147.46 × 140,842.88
  4. Step 4: Simplify right side
    222,652.48x = 43,259,532,851.08
  5. Step 5: Solve for x
    x = 43,259,532,851.08/222,652.48
  6. Step 6: Final answer
    x = 194,291.72

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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.