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Finding the Fourth Proportional to 182,097.54, 251,274.33 and 110,494.98

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Solution

The fourth proportional to 182,097.54, 251,274.33 and 110,494.98 is: 152,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,097.54 : 251,274.33 = 110,494.98 : x
  2. Step 2: Convert to fraction form
    182,097.54/251,274.33 = 110,494.98/x
  3. Step 3: Cross multiply
    182,097.54x = 251,274.33 × 110,494.98
  4. Step 4: Simplify right side
    182,097.54x = 27,764,552,067.86
  5. Step 5: Solve for x
    x = 27,764,552,067.86/182,097.54
  6. Step 6: Final answer
    x = 152,470.77

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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.