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Finding the Fourth Proportional to 411,101.70, 616,652.25 and 111,626.23

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Solution

The fourth proportional to 411,101.70, 616,652.25 and 111,626.23 is: 167,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,101.70 : 616,652.25 = 111,626.23 : x
  2. Step 2: Convert to fraction form
    411,101.70/616,652.25 = 111,626.23/x
  3. Step 3: Cross multiply
    411,101.70x = 616,652.25 × 111,626.23
  4. Step 4: Simplify right side
    411,101.70x = 68,834,564,135.05
  5. Step 5: Solve for x
    x = 68,834,564,135.05/411,101.70
  6. Step 6: Final answer
    x = 167,439.26

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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.