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Finding the Fourth Proportional to 178,193.77, 245,919.16 and 101,728.36

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Solution

The fourth proportional to 178,193.77, 245,919.16 and 101,728.36 is: 140,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,193.77 : 245,919.16 = 101,728.36 : x
  2. Step 2: Convert to fraction form
    178,193.77/245,919.16 = 101,728.36/x
  3. Step 3: Cross multiply
    178,193.77x = 245,919.16 × 101,728.36
  4. Step 4: Simplify right side
    178,193.77x = 25,016,951,609.78
  5. Step 5: Solve for x
    x = 25,016,951,609.78/178,193.77
  6. Step 6: Final answer
    x = 140,391.84

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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.