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Finding the Fourth Proportional to 253,374, 380,115.24 and 93,450.48

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Solution

The fourth proportional to 253,374, 380,115.24 and 93,450.48 is: 140,195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,374 : 380,115.24 = 93,450.48 : x
  2. Step 2: Convert to fraction form
    253,374/380,115.24 = 93,450.48/x
  3. Step 3: Cross multiply
    253,374x = 380,115.24 × 93,450.48
  4. Step 4: Simplify right side
    253,374x = 35,521,951,633.32
  5. Step 5: Solve for x
    x = 35,521,951,633.32/253,374
  6. Step 6: Final answer
    x = 140,195.73

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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.