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Finding the Fourth Proportional to 198,218.81, 273,769.00 and 130,538.32

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Solution

The fourth proportional to 198,218.81, 273,769.00 and 130,538.32 is: 180,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,218.81 : 273,769.00 = 130,538.32 : x
  2. Step 2: Convert to fraction form
    198,218.81/273,769.00 = 130,538.32/x
  3. Step 3: Cross multiply
    198,218.81x = 273,769.00 × 130,538.32
  4. Step 4: Simplify right side
    198,218.81x = 35,737,344,317.31
  5. Step 5: Solve for x
    x = 35,737,344,317.31/198,218.81
  6. Step 6: Final answer
    x = 180,292.39

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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.