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Finding the Fourth Proportional to 198,551.63, 297,864.34 and 65,441.24

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Solution

The fourth proportional to 198,551.63, 297,864.34 and 65,441.24 is: 98,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,551.63 : 297,864.34 = 65,441.24 : x
  2. Step 2: Convert to fraction form
    198,551.63/297,864.34 = 65,441.24/x
  3. Step 3: Cross multiply
    198,551.63x = 297,864.34 × 65,441.24
  4. Step 4: Simplify right side
    198,551.63x = 19,492,611,761.38
  5. Step 5: Solve for x
    x = 19,492,611,761.38/198,551.63
  6. Step 6: Final answer
    x = 98,174.02

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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.