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Finding the Fourth Proportional to 197,597, 272,683.86 and 108,173

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Solution

The fourth proportional to 197,597, 272,683.86 and 108,173 is: 149,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,597 : 272,683.86 = 108,173 : x
  2. Step 2: Convert to fraction form
    197,597/272,683.86 = 108,173/x
  3. Step 3: Cross multiply
    197,597x = 272,683.86 × 108,173
  4. Step 4: Simplify right side
    197,597x = 29,497,031,187.78
  5. Step 5: Solve for x
    x = 29,497,031,187.78/197,597
  6. Step 6: Final answer
    x = 149,278.74

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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.