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Finding the Fourth Proportional to 253,832.15, 380,347.67 and 93,687.66

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Solution

The fourth proportional to 253,832.15, 380,347.67 and 93,687.66 is: 140,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,832.15 : 380,347.67 = 93,687.66 : x
  2. Step 2: Convert to fraction form
    253,832.15/380,347.67 = 93,687.66/x
  3. Step 3: Cross multiply
    253,832.15x = 380,347.67 × 93,687.66
  4. Step 4: Simplify right side
    253,832.15x = 35,633,882,720.31
  5. Step 5: Solve for x
    x = 35,633,882,720.31/253,832.15
  6. Step 6: Final answer
    x = 140,383.65

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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.