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Finding the Fourth Proportional to 188,840.30, 283,260.45 and 64,181.30

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Solution

The fourth proportional to 188,840.30, 283,260.45 and 64,181.30 is: 96,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,840.30 : 283,260.45 = 64,181.30 : x
  2. Step 2: Convert to fraction form
    188,840.30/283,260.45 = 64,181.30/x
  3. Step 3: Cross multiply
    188,840.30x = 283,260.45 × 64,181.30
  4. Step 4: Simplify right side
    188,840.30x = 18,180,023,919.59
  5. Step 5: Solve for x
    x = 18,180,023,919.59/188,840.30
  6. Step 6: Final answer
    x = 96,271.95

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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.