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Finding the Fourth Proportional to 105,814.91, 158,720.63 and 42,633.50

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Solution

The fourth proportional to 105,814.91, 158,720.63 and 42,633.50 is: 63,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,814.91 : 158,720.63 = 42,633.50 : x
  2. Step 2: Convert to fraction form
    105,814.91/158,720.63 = 42,633.50/x
  3. Step 3: Cross multiply
    105,814.91x = 158,720.63 × 42,633.50
  4. Step 4: Simplify right side
    105,814.91x = 6,766,814,972.33
  5. Step 5: Solve for x
    x = 6,766,814,972.33/105,814.91
  6. Step 6: Final answer
    x = 63,949.54

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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.