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Finding the Fourth Proportional to 198,733.61, 297,601.90 and 118,722.22

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Solution

The fourth proportional to 198,733.61, 297,601.90 and 118,722.22 is: 177,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,733.61 : 297,601.90 = 118,722.22 : x
  2. Step 2: Convert to fraction form
    198,733.61/297,601.90 = 118,722.22/x
  3. Step 3: Cross multiply
    198,733.61x = 297,601.90 × 118,722.22
  4. Step 4: Simplify right side
    198,733.61x = 35,331,957,203.41
  5. Step 5: Solve for x
    x = 35,331,957,203.41/198,733.61
  6. Step 6: Final answer
    x = 177,785.51

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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.