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Finding the Fourth Proportional to 137,626.95, 206,477.33 and 109,652.48

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Solution

The fourth proportional to 137,626.95, 206,477.33 and 109,652.48 is: 164,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,626.95 : 206,477.33 = 109,652.48 : x
  2. Step 2: Convert to fraction form
    137,626.95/206,477.33 = 109,652.48/x
  3. Step 3: Cross multiply
    137,626.95x = 206,477.33 × 109,652.48
  4. Step 4: Simplify right side
    137,626.95x = 22,640,749,717.63
  5. Step 5: Solve for x
    x = 22,640,749,717.63/137,626.95
  6. Step 6: Final answer
    x = 164,508.11

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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.