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Finding the Fourth Proportional to 198,197.59, 273,510.60 and 110,982.86

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Solution

The fourth proportional to 198,197.59, 273,510.60 and 110,982.86 is: 153,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,197.59 : 273,510.60 = 110,982.86 : x
  2. Step 2: Convert to fraction form
    198,197.59/273,510.60 = 110,982.86/x
  3. Step 3: Cross multiply
    198,197.59x = 273,510.60 × 110,982.86
  4. Step 4: Simplify right side
    198,197.59x = 30,354,988,895.91
  5. Step 5: Solve for x
    x = 30,354,988,895.91/198,197.59
  6. Step 6: Final answer
    x = 153,155.19

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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.