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Finding the Fourth Proportional to 197,706.74, 272,901.84 and 120,182.12

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Solution

The fourth proportional to 197,706.74, 272,901.84 and 120,182.12 is: 165,891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,706.74 : 272,901.84 = 120,182.12 : x
  2. Step 2: Convert to fraction form
    197,706.74/272,901.84 = 120,182.12/x
  3. Step 3: Cross multiply
    197,706.74x = 272,901.84 × 120,182.12
  4. Step 4: Simplify right side
    197,706.74x = 32,797,921,683.10
  5. Step 5: Solve for x
    x = 32,797,921,683.10/197,706.74
  6. Step 6: Final answer
    x = 165,891.77

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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.