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Finding the Fourth Proportional to 198,641.24, 297,959.34 and 48,883.40

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Solution

The fourth proportional to 198,641.24, 297,959.34 and 48,883.40 is: 73,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,641.24 : 297,959.34 = 48,883.40 : x
  2. Step 2: Convert to fraction form
    198,641.24/297,959.34 = 48,883.40/x
  3. Step 3: Cross multiply
    198,641.24x = 297,959.34 × 48,883.40
  4. Step 4: Simplify right side
    198,641.24x = 14,565,265,600.96
  5. Step 5: Solve for x
    x = 14,565,265,600.96/198,641.24
  6. Step 6: Final answer
    x = 73,324.48

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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.