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Finding the Fourth Proportional to 197,398.99, 296,211.35 and 83,537.83

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Solution

The fourth proportional to 197,398.99, 296,211.35 and 83,537.83 is: 125,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,398.99 : 296,211.35 = 83,537.83 : x
  2. Step 2: Convert to fraction form
    197,398.99/296,211.35 = 83,537.83/x
  3. Step 3: Cross multiply
    197,398.99x = 296,211.35 × 83,537.83
  4. Step 4: Simplify right side
    197,398.99x = 24,744,853,400.37
  5. Step 5: Solve for x
    x = 24,744,853,400.37/197,398.99
  6. Step 6: Final answer
    x = 125,354.51

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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.