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Finding the Fourth Proportional to 158,874.82, 238,312.12 and 40,546.20

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Solution

The fourth proportional to 158,874.82, 238,312.12 and 40,546.20 is: 60,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,874.82 : 238,312.12 = 40,546.20 : x
  2. Step 2: Convert to fraction form
    158,874.82/238,312.12 = 40,546.20/x
  3. Step 3: Cross multiply
    158,874.82x = 238,312.12 × 40,546.20
  4. Step 4: Simplify right side
    158,874.82x = 9,662,650,879.94
  5. Step 5: Solve for x
    x = 9,662,650,879.94/158,874.82
  6. Step 6: Final answer
    x = 60,819.27

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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.