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Finding the Fourth Proportional to 185,846.20, 256,489.74 and 110,395

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Solution

The fourth proportional to 185,846.20, 256,489.74 and 110,395 is: 152,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,846.20 : 256,489.74 = 110,395 : x
  2. Step 2: Convert to fraction form
    185,846.20/256,489.74 = 110,395/x
  3. Step 3: Cross multiply
    185,846.20x = 256,489.74 × 110,395
  4. Step 4: Simplify right side
    185,846.20x = 28,315,184,847.30
  5. Step 5: Solve for x
    x = 28,315,184,847.30/185,846.20
  6. Step 6: Final answer
    x = 152,358.16

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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.