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Finding the Fourth Proportional to 158,874.50, 238,249.44 and 57,648.50

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Solution

The fourth proportional to 158,874.50, 238,249.44 and 57,648.50 is: 86,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,874.50 : 238,249.44 = 57,648.50 : x
  2. Step 2: Convert to fraction form
    158,874.50/238,249.44 = 57,648.50/x
  3. Step 3: Cross multiply
    158,874.50x = 238,249.44 × 57,648.50
  4. Step 4: Simplify right side
    158,874.50x = 13,734,722,841.84
  5. Step 5: Solve for x
    x = 13,734,722,841.84/158,874.50
  6. Step 6: Final answer
    x = 86,450.14

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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.