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Finding the Fourth Proportional to 198,271.72, 273,524.34 and 137,986.12

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Solution

The fourth proportional to 198,271.72, 273,524.34 and 137,986.12 is: 190,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,271.72 : 273,524.34 = 137,986.12 : x
  2. Step 2: Convert to fraction form
    198,271.72/273,524.34 = 137,986.12/x
  3. Step 3: Cross multiply
    198,271.72x = 273,524.34 × 137,986.12
  4. Step 4: Simplify right side
    198,271.72x = 37,742,562,402.16
  5. Step 5: Solve for x
    x = 37,742,562,402.16/198,271.72
  6. Step 6: Final answer
    x = 190,357.77

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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.