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Finding the Fourth Proportional to 100,856.38, 151,301 and 29,786.22

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Solution

The fourth proportional to 100,856.38, 151,301 and 29,786.22 is: 44,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,856.38 : 151,301 = 29,786.22 : x
  2. Step 2: Convert to fraction form
    100,856.38/151,301 = 29,786.22/x
  3. Step 3: Cross multiply
    100,856.38x = 151,301 × 29,786.22
  4. Step 4: Simplify right side
    100,856.38x = 4,506,684,872.22
  5. Step 5: Solve for x
    x = 4,506,684,872.22/100,856.38
  6. Step 6: Final answer
    x = 44,684.18

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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.