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Finding the Fourth Proportional to 198,342.63, 297,523.51 and 65,219.94

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Solution

The fourth proportional to 198,342.63, 297,523.51 and 65,219.94 is: 97,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,342.63 : 297,523.51 = 65,219.94 : x
  2. Step 2: Convert to fraction form
    198,342.63/297,523.51 = 65,219.94/x
  3. Step 3: Cross multiply
    198,342.63x = 297,523.51 × 65,219.94
  4. Step 4: Simplify right side
    198,342.63x = 19,404,465,470.79
  5. Step 5: Solve for x
    x = 19,404,465,470.79/198,342.63
  6. Step 6: Final answer
    x = 97,833.06

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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.