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Finding the Fourth Proportional to 253,700.31, 350,078.18 and 140,494.71

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Solution

The fourth proportional to 253,700.31, 350,078.18 and 140,494.71 is: 193,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,700.31 : 350,078.18 = 140,494.71 : x
  2. Step 2: Convert to fraction form
    253,700.31/350,078.18 = 140,494.71/x
  3. Step 3: Cross multiply
    253,700.31x = 350,078.18 × 140,494.71
  4. Step 4: Simplify right side
    253,700.31x = 49,184,131,673.95
  5. Step 5: Solve for x
    x = 49,184,131,673.95/253,700.31
  6. Step 6: Final answer
    x = 193,867.05

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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.