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Finding the Fourth Proportional to 198,792.81, 297,972.33 and 97,660.46

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Solution

The fourth proportional to 198,792.81, 297,972.33 and 97,660.46 is: 146,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,792.81 : 297,972.33 = 97,660.46 : x
  2. Step 2: Convert to fraction form
    198,792.81/297,972.33 = 97,660.46/x
  3. Step 3: Cross multiply
    198,792.81x = 297,972.33 × 97,660.46
  4. Step 4: Simplify right side
    198,792.81x = 29,100,113,325.21
  5. Step 5: Solve for x
    x = 29,100,113,325.21/198,792.81
  6. Step 6: Final answer
    x = 146,384.13

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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.