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Finding the Fourth Proportional to 150,261, 207,360.18 and 83,193

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Solution

The fourth proportional to 150,261, 207,360.18 and 83,193 is: 114,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,261 : 207,360.18 = 83,193 : x
  2. Step 2: Convert to fraction form
    150,261/207,360.18 = 83,193/x
  3. Step 3: Cross multiply
    150,261x = 207,360.18 × 83,193
  4. Step 4: Simplify right side
    150,261x = 17,250,915,454.74
  5. Step 5: Solve for x
    x = 17,250,915,454.74/150,261
  6. Step 6: Final answer
    x = 114,806.34

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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.