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Finding the Fourth Proportional to 178,198.46, 245,921.96 and 101,738.24

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Solution

The fourth proportional to 178,198.46, 245,921.96 and 101,738.24 is: 140,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,198.46 : 245,921.96 = 101,738.24 : x
  2. Step 2: Convert to fraction form
    178,198.46/245,921.96 = 101,738.24/x
  3. Step 3: Cross multiply
    178,198.46x = 245,921.96 × 101,738.24
  4. Step 4: Simplify right side
    178,198.46x = 25,019,666,412.49
  5. Step 5: Solve for x
    x = 25,019,666,412.49/178,198.46
  6. Step 6: Final answer
    x = 140,403.39

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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.