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Finding the Fourth Proportional to 189,542.62, 284,308.46 and 49,301.24

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Solution

The fourth proportional to 189,542.62, 284,308.46 and 49,301.24 is: 73,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,542.62 : 284,308.46 = 49,301.24 : x
  2. Step 2: Convert to fraction form
    189,542.62/284,308.46 = 49,301.24/x
  3. Step 3: Cross multiply
    189,542.62x = 284,308.46 × 49,301.24
  4. Step 4: Simplify right side
    189,542.62x = 14,016,761,109.31
  5. Step 5: Solve for x
    x = 14,016,761,109.31/189,542.62
  6. Step 6: Final answer
    x = 73,950.45

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