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Finding the Fourth Proportional to 197,894.48, 296,842.32 and 48,134.79

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Solution

The fourth proportional to 197,894.48, 296,842.32 and 48,134.79 is: 72,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,894.48 : 296,842.32 = 48,134.79 : x
  2. Step 2: Convert to fraction form
    197,894.48/296,842.32 = 48,134.79/x
  3. Step 3: Cross multiply
    197,894.48x = 296,842.32 × 48,134.79
  4. Step 4: Simplify right side
    197,894.48x = 14,288,442,736.31
  5. Step 5: Solve for x
    x = 14,288,442,736.31/197,894.48
  6. Step 6: Final answer
    x = 72,202.33

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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.