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Finding the Fourth Proportional to 120,464.48, 180,709.04 and 41,578.48

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Solution

The fourth proportional to 120,464.48, 180,709.04 and 41,578.48 is: 62,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,464.48 : 180,709.04 = 41,578.48 : x
  2. Step 2: Convert to fraction form
    120,464.48/180,709.04 = 41,578.48/x
  3. Step 3: Cross multiply
    120,464.48x = 180,709.04 × 41,578.48
  4. Step 4: Simplify right side
    120,464.48x = 7,513,607,205.46
  5. Step 5: Solve for x
    x = 7,513,607,205.46/120,464.48
  6. Step 6: Final answer
    x = 62,371.97

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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.