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Finding the Fourth Proportional to 248,082.25, 342,343.17 and 140,659.54

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Solution

The fourth proportional to 248,082.25, 342,343.17 and 140,659.54 is: 194,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,082.25 : 342,343.17 = 140,659.54 : x
  2. Step 2: Convert to fraction form
    248,082.25/342,343.17 = 140,659.54/x
  3. Step 3: Cross multiply
    248,082.25x = 342,343.17 × 140,659.54
  4. Step 4: Simplify right side
    248,082.25x = 48,153,832,111.04
  5. Step 5: Solve for x
    x = 48,153,832,111.04/248,082.25
  6. Step 6: Final answer
    x = 194,104.30

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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.