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Finding the Fourth Proportional to 248,186.32, 342,419.84 and 140,747.92

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Solution

The fourth proportional to 248,186.32, 342,419.84 and 140,747.92 is: 194,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,186.32 : 342,419.84 = 140,747.92 : x
  2. Step 2: Convert to fraction form
    248,186.32/342,419.84 = 140,747.92/x
  3. Step 3: Cross multiply
    248,186.32x = 342,419.84 × 140,747.92
  4. Step 4: Simplify right side
    248,186.32x = 48,194,880,246.73
  5. Step 5: Solve for x
    x = 48,194,880,246.73/248,186.32
  6. Step 6: Final answer
    x = 194,188.30

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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.