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Finding the Fourth Proportional to 147,892, 204,019.60 and 96,882.48

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Solution

The fourth proportional to 147,892, 204,019.60 and 96,882.48 is: 133,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,892 : 204,019.60 = 96,882.48 : x
  2. Step 2: Convert to fraction form
    147,892/204,019.60 = 96,882.48/x
  3. Step 3: Cross multiply
    147,892x = 204,019.60 × 96,882.48
  4. Step 4: Simplify right side
    147,892x = 19,765,924,816.61
  5. Step 5: Solve for x
    x = 19,765,924,816.61/147,892
  6. Step 6: Final answer
    x = 133,651.08

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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.