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Finding the Fourth Proportional to 185,625, 278,079.12 and 110,804.94

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Solution

The fourth proportional to 185,625, 278,079.12 and 110,804.94 is: 165,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,625 : 278,079.12 = 110,804.94 : x
  2. Step 2: Convert to fraction form
    185,625/278,079.12 = 110,804.94/x
  3. Step 3: Cross multiply
    185,625x = 278,079.12 × 110,804.94
  4. Step 4: Simplify right side
    185,625x = 30,812,540,206.85
  5. Step 5: Solve for x
    x = 30,812,540,206.85/185,625
  6. Step 6: Final answer
    x = 165,993.48

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1.5x scale

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.