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Finding the Fourth Proportional to 198,415.96, 273,811.10 and 107,773.10

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Solution

The fourth proportional to 198,415.96, 273,811.10 and 107,773.10 is: 148,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,415.96 : 273,811.10 = 107,773.10 : x
  2. Step 2: Convert to fraction form
    198,415.96/273,811.10 = 107,773.10/x
  3. Step 3: Cross multiply
    198,415.96x = 273,811.10 × 107,773.10
  4. Step 4: Simplify right side
    198,415.96x = 29,509,471,061.41
  5. Step 5: Solve for x
    x = 29,509,471,061.41/198,415.96
  6. Step 6: Final answer
    x = 148,725.29

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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.