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Finding the Fourth Proportional to 158,842.92, 238,362.75 and 92,314.38

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Solution

The fourth proportional to 158,842.92, 238,362.75 and 92,314.38 is: 138,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,842.92 : 238,362.75 = 92,314.38 : x
  2. Step 2: Convert to fraction form
    158,842.92/238,362.75 = 92,314.38/x
  3. Step 3: Cross multiply
    158,842.92x = 238,362.75 × 92,314.38
  4. Step 4: Simplify right side
    158,842.92x = 22,004,309,481.35
  5. Step 5: Solve for x
    x = 22,004,309,481.35/158,842.92
  6. Step 6: Final answer
    x = 138,528.74

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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.