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Finding the Fourth Proportional to 198,037.80, 297,056.70 and 144,893.70

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Solution

The fourth proportional to 198,037.80, 297,056.70 and 144,893.70 is: 217,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,037.80 : 297,056.70 = 144,893.70 : x
  2. Step 2: Convert to fraction form
    198,037.80/297,056.70 = 144,893.70/x
  3. Step 3: Cross multiply
    198,037.80x = 297,056.70 × 144,893.70
  4. Step 4: Simplify right side
    198,037.80x = 43,041,644,372.79
  5. Step 5: Solve for x
    x = 43,041,644,372.79/198,037.80
  6. Step 6: Final answer
    x = 217,340.55

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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.