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Finding the Fourth Proportional to 100,058.87, 149,847.78 and 57,234.51

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Solution

The fourth proportional to 100,058.87, 149,847.78 and 57,234.51 is: 85,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,058.87 : 149,847.78 = 57,234.51 : x
  2. Step 2: Convert to fraction form
    100,058.87/149,847.78 = 57,234.51/x
  3. Step 3: Cross multiply
    100,058.87x = 149,847.78 × 57,234.51
  4. Step 4: Simplify right side
    100,058.87x = 8,576,464,262.89
  5. Step 5: Solve for x
    x = 8,576,464,262.89/100,058.87
  6. Step 6: Final answer
    x = 85,714.18

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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.