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Finding the Fourth Proportional to 149,603.25, 206,445.27 and 81,616.17

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Solution

The fourth proportional to 149,603.25, 206,445.27 and 81,616.17 is: 112,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,603.25 : 206,445.27 = 81,616.17 : x
  2. Step 2: Convert to fraction form
    149,603.25/206,445.27 = 81,616.17/x
  3. Step 3: Cross multiply
    149,603.25x = 206,445.27 × 81,616.17
  4. Step 4: Simplify right side
    149,603.25x = 16,849,273,332.25
  5. Step 5: Solve for x
    x = 16,849,273,332.25/149,603.25
  6. Step 6: Final answer
    x = 112,626.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.