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Finding the Fourth Proportional to 189,206.08, 261,149.88 and 113,740

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Solution

The fourth proportional to 189,206.08, 261,149.88 and 113,740 is: 156,988.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,206.08 : 261,149.88 = 113,740 : x
  2. Step 2: Convert to fraction form
    189,206.08/261,149.88 = 113,740/x
  3. Step 3: Cross multiply
    189,206.08x = 261,149.88 × 113,740
  4. Step 4: Simplify right side
    189,206.08x = 29,703,187,351.20
  5. Step 5: Solve for x
    x = 29,703,187,351.20/189,206.08
  6. Step 6: Final answer
    x = 156,988.55

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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.