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Finding the Fourth Proportional to 198,509.59, 297,733.02 and 164,990.77

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Solution

The fourth proportional to 198,509.59, 297,733.02 and 164,990.77 is: 247,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,509.59 : 297,733.02 = 164,990.77 : x
  2. Step 2: Convert to fraction form
    198,509.59/297,733.02 = 164,990.77/x
  3. Step 3: Cross multiply
    198,509.59x = 297,733.02 × 164,990.77
  4. Step 4: Simplify right side
    198,509.59x = 49,123,200,535.93
  5. Step 5: Solve for x
    x = 49,123,200,535.93/198,509.59
  6. Step 6: Final answer
    x = 247,460.09

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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.