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Finding the Fourth Proportional to 185,438.24, 278,034.48 and 67,094

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Solution

The fourth proportional to 185,438.24, 278,034.48 and 67,094 is: 100,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,438.24 : 278,034.48 = 67,094 : x
  2. Step 2: Convert to fraction form
    185,438.24/278,034.48 = 67,094/x
  3. Step 3: Cross multiply
    185,438.24x = 278,034.48 × 67,094
  4. Step 4: Simplify right side
    185,438.24x = 18,654,445,401.12
  5. Step 5: Solve for x
    x = 18,654,445,401.12/185,438.24
  6. Step 6: Final answer
    x = 100,596.54

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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.