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Finding the Fourth Proportional to 197,508.67, 296,121.50 and 83,664.15

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Solution

The fourth proportional to 197,508.67, 296,121.50 and 83,664.15 is: 125,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,508.67 : 296,121.50 = 83,664.15 : x
  2. Step 2: Convert to fraction form
    197,508.67/296,121.50 = 83,664.15/x
  3. Step 3: Cross multiply
    197,508.67x = 296,121.50 × 83,664.15
  4. Step 4: Simplify right side
    197,508.67x = 24,774,753,916.21
  5. Step 5: Solve for x
    x = 24,774,753,916.21/197,508.67
  6. Step 6: Final answer
    x = 125,436.28

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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.