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Finding the Fourth Proportional to 197,584.17, 272,663.79 and 106,938

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Solution

The fourth proportional to 197,584.17, 272,663.79 and 106,938 is: 147,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,584.17 : 272,663.79 = 106,938 : x
  2. Step 2: Convert to fraction form
    197,584.17/272,663.79 = 106,938/x
  3. Step 3: Cross multiply
    197,584.17x = 272,663.79 × 106,938
  4. Step 4: Simplify right side
    197,584.17x = 29,158,120,375.02
  5. Step 5: Solve for x
    x = 29,158,120,375.02/197,584.17
  6. Step 6: Final answer
    x = 147,573.16

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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.