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Finding the Fourth Proportional to 253,867.32, 350,330.94 and 140,687.64

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Solution

The fourth proportional to 253,867.32, 350,330.94 and 140,687.64 is: 194,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,867.32 : 350,330.94 = 140,687.64 : x
  2. Step 2: Convert to fraction form
    253,867.32/350,330.94 = 140,687.64/x
  3. Step 3: Cross multiply
    253,867.32x = 350,330.94 × 140,687.64
  4. Step 4: Simplify right side
    253,867.32x = 49,287,233,167.58
  5. Step 5: Solve for x
    x = 49,287,233,167.58/253,867.32
  6. Step 6: Final answer
    x = 194,145.64

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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.