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Finding the Fourth Proportional to 147,301, 203,275.38 and 80,233

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Solution

The fourth proportional to 147,301, 203,275.38 and 80,233 is: 110,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,301 : 203,275.38 = 80,233 : x
  2. Step 2: Convert to fraction form
    147,301/203,275.38 = 80,233/x
  3. Step 3: Cross multiply
    147,301x = 203,275.38 × 80,233
  4. Step 4: Simplify right side
    147,301x = 16,309,393,563.54
  5. Step 5: Solve for x
    x = 16,309,393,563.54/147,301
  6. Step 6: Final answer
    x = 110,721.54

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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.