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Finding the Fourth Proportional to 198,411.95, 273,658.46 and 137,952.34

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Solution

The fourth proportional to 198,411.95, 273,658.46 and 137,952.34 is: 190,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,411.95 : 273,658.46 = 137,952.34 : x
  2. Step 2: Convert to fraction form
    198,411.95/273,658.46 = 137,952.34/x
  3. Step 3: Cross multiply
    198,411.95x = 273,658.46 × 137,952.34
  4. Step 4: Simplify right side
    198,411.95x = 37,751,823,543.89
  5. Step 5: Solve for x
    x = 37,751,823,543.89/198,411.95
  6. Step 6: Final answer
    x = 190,269.91

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