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Finding the Fourth Proportional to 198,233.84, 297,381.75 and 65,083.82

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Solution

The fourth proportional to 198,233.84, 297,381.75 and 65,083.82 is: 97,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,233.84 : 297,381.75 = 65,083.82 : x
  2. Step 2: Convert to fraction form
    198,233.84/297,381.75 = 65,083.82/x
  3. Step 3: Cross multiply
    198,233.84x = 297,381.75 × 65,083.82
  4. Step 4: Simplify right side
    198,233.84x = 19,354,738,557.31
  5. Step 5: Solve for x
    x = 19,354,738,557.31/198,233.84
  6. Step 6: Final answer
    x = 97,635.89

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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.