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Finding the Fourth Proportional to 158,137.10, 218,234.38 and 86,515.48

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Solution

The fourth proportional to 158,137.10, 218,234.38 and 86,515.48 is: 119,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,137.10 : 218,234.38 = 86,515.48 : x
  2. Step 2: Convert to fraction form
    158,137.10/218,234.38 = 86,515.48/x
  3. Step 3: Cross multiply
    158,137.10x = 218,234.38 × 86,515.48
  4. Step 4: Simplify right side
    158,137.10x = 18,880,652,138.20
  5. Step 5: Solve for x
    x = 18,880,652,138.20/158,137.10
  6. Step 6: Final answer
    x = 119,394.20

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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.