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Finding the Fourth Proportional to 306,074, 459,112.07 and 92,843.75

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Solution

The fourth proportional to 306,074, 459,112.07 and 92,843.75 is: 139,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,074 : 459,112.07 = 92,843.75 : x
  2. Step 2: Convert to fraction form
    306,074/459,112.07 = 92,843.75/x
  3. Step 3: Cross multiply
    306,074x = 459,112.07 × 92,843.75
  4. Step 4: Simplify right side
    306,074x = 42,625,686,016.95
  5. Step 5: Solve for x
    x = 42,625,686,016.95/306,074
  6. Step 6: Final answer
    x = 139,265.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.