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Finding the Fourth Proportional to 197,711.84, 272,844.08 and 112,828

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Solution

The fourth proportional to 197,711.84, 272,844.08 and 112,828 is: 155,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,711.84 : 272,844.08 = 112,828 : x
  2. Step 2: Convert to fraction form
    197,711.84/272,844.08 = 112,828/x
  3. Step 3: Cross multiply
    197,711.84x = 272,844.08 × 112,828
  4. Step 4: Simplify right side
    197,711.84x = 30,784,451,858.24
  5. Step 5: Solve for x
    x = 30,784,451,858.24/197,711.84
  6. Step 6: Final answer
    x = 155,703.63

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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.