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Finding the Fourth Proportional to 104,216.28, 156,371.58 and 41,019

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Solution

The fourth proportional to 104,216.28, 156,371.58 and 41,019 is: 61,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,216.28 : 156,371.58 = 41,019 : x
  2. Step 2: Convert to fraction form
    104,216.28/156,371.58 = 41,019/x
  3. Step 3: Cross multiply
    104,216.28x = 156,371.58 × 41,019
  4. Step 4: Simplify right side
    104,216.28x = 6,414,205,840.02
  5. Step 5: Solve for x
    x = 6,414,205,840.02/104,216.28
  6. Step 6: Final answer
    x = 61,547.06

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Why These Related Problems?

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