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Finding the Fourth Proportional to 189,023.63, 283,587.99 and 82,416.90

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Solution

The fourth proportional to 189,023.63, 283,587.99 and 82,416.90 is: 123,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,023.63 : 283,587.99 = 82,416.90 : x
  2. Step 2: Convert to fraction form
    189,023.63/283,587.99 = 82,416.90/x
  3. Step 3: Cross multiply
    189,023.63x = 283,587.99 × 82,416.90
  4. Step 4: Simplify right side
    189,023.63x = 23,372,443,013.03
  5. Step 5: Solve for x
    x = 23,372,443,013.03/189,023.63
  6. Step 6: Final answer
    x = 123,648.26

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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.