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Finding the Fourth Proportional to 198,510.59, 297,734.52 and 164,991.77

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Solution

The fourth proportional to 198,510.59, 297,734.52 and 164,991.77 is: 247,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,510.59 : 297,734.52 = 164,991.77 : x
  2. Step 2: Convert to fraction form
    198,510.59/297,734.52 = 164,991.77/x
  3. Step 3: Cross multiply
    198,510.59x = 297,734.52 × 164,991.77
  4. Step 4: Simplify right side
    198,510.59x = 49,123,745,444.90
  5. Step 5: Solve for x
    x = 49,123,745,444.90/198,510.59
  6. Step 6: Final answer
    x = 247,461.59

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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.