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Finding the Fourth Proportional to 196,376.80, 294,565.20 and 48,632.80

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Solution

The fourth proportional to 196,376.80, 294,565.20 and 48,632.80 is: 72,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,376.80 : 294,565.20 = 48,632.80 : x
  2. Step 2: Convert to fraction form
    196,376.80/294,565.20 = 48,632.80/x
  3. Step 3: Cross multiply
    196,376.80x = 294,565.20 × 48,632.80
  4. Step 4: Simplify right side
    196,376.80x = 14,325,530,458.56
  5. Step 5: Solve for x
    x = 14,325,530,458.56/196,376.80
  6. Step 6: Final answer
    x = 72,949.20

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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.