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Finding the Fourth Proportional to 194,150.52, 291,262.50 and 75,814.38

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Solution

The fourth proportional to 194,150.52, 291,262.50 and 75,814.38 is: 113,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,150.52 : 291,262.50 = 75,814.38 : x
  2. Step 2: Convert to fraction form
    194,150.52/291,262.50 = 75,814.38/x
  3. Step 3: Cross multiply
    194,150.52x = 291,262.50 × 75,814.38
  4. Step 4: Simplify right side
    194,150.52x = 22,081,885,854.75
  5. Step 5: Solve for x
    x = 22,081,885,854.75/194,150.52
  6. Step 6: Final answer
    x = 113,735.91

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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.