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Finding the Fourth Proportional to 197,489.30, 296,039.55 and 97,664.90

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Solution

The fourth proportional to 197,489.30, 296,039.55 and 97,664.90 is: 146,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,489.30 : 296,039.55 = 97,664.90 : x
  2. Step 2: Convert to fraction form
    197,489.30/296,039.55 = 97,664.90/x
  3. Step 3: Cross multiply
    197,489.30x = 296,039.55 × 97,664.90
  4. Step 4: Simplify right side
    197,489.30x = 28,912,673,046.80
  5. Step 5: Solve for x
    x = 28,912,673,046.80/197,489.30
  6. Step 6: Final answer
    x = 146,401.21

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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.