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Finding the Fourth Proportional to 105,614.30, 158,415.69 and 35,486.30

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Solution

The fourth proportional to 105,614.30, 158,415.69 and 35,486.30 is: 53,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,614.30 : 158,415.69 = 35,486.30 : x
  2. Step 2: Convert to fraction form
    105,614.30/158,415.69 = 35,486.30/x
  3. Step 3: Cross multiply
    105,614.30x = 158,415.69 × 35,486.30
  4. Step 4: Simplify right side
    105,614.30x = 5,621,586,700.05
  5. Step 5: Solve for x
    x = 5,621,586,700.05/105,614.30
  6. Step 6: Final answer
    x = 53,227.51

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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.