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Finding the Fourth Proportional to 198,461.70, 273,876.02 and 107,816.94

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Solution

The fourth proportional to 198,461.70, 273,876.02 and 107,816.94 is: 148,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,461.70 : 273,876.02 = 107,816.94 : x
  2. Step 2: Convert to fraction form
    198,461.70/273,876.02 = 107,816.94/x
  3. Step 3: Cross multiply
    198,461.70x = 273,876.02 × 107,816.94
  4. Step 4: Simplify right side
    198,461.70x = 29,528,474,415.78
  5. Step 5: Solve for x
    x = 29,528,474,415.78/198,461.70
  6. Step 6: Final answer
    x = 148,786.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.