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Finding the Fourth Proportional to 182,178.88, 251,428.79 and 106,727.38

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Solution

The fourth proportional to 182,178.88, 251,428.79 and 106,727.38 is: 147,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,178.88 : 251,428.79 = 106,727.38 : x
  2. Step 2: Convert to fraction form
    182,178.88/251,428.79 = 106,727.38/x
  3. Step 3: Cross multiply
    182,178.88x = 251,428.79 × 106,727.38
  4. Step 4: Simplify right side
    182,178.88x = 26,834,336,013.27
  5. Step 5: Solve for x
    x = 26,834,336,013.27/182,178.88
  6. Step 6: Final answer
    x = 147,296.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.