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Finding the Fourth Proportional to 151,620.80, 209,234.11 and 83,644.28

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Solution

The fourth proportional to 151,620.80, 209,234.11 and 83,644.28 is: 115,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,620.80 : 209,234.11 = 83,644.28 : x
  2. Step 2: Convert to fraction form
    151,620.80/209,234.11 = 83,644.28/x
  3. Step 3: Cross multiply
    151,620.80x = 209,234.11 × 83,644.28
  4. Step 4: Simplify right side
    151,620.80x = 17,501,236,757.21
  5. Step 5: Solve for x
    x = 17,501,236,757.21/151,620.80
  6. Step 6: Final answer
    x = 115,427.68

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1.5x scale

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.