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Finding the Fourth Proportional to 150,539.24, 207,734.82 and 83,471.24

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Solution

The fourth proportional to 150,539.24, 207,734.82 and 83,471.24 is: 115,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,539.24 : 207,734.82 = 83,471.24 : x
  2. Step 2: Convert to fraction form
    150,539.24/207,734.82 = 83,471.24/x
  3. Step 3: Cross multiply
    150,539.24x = 207,734.82 × 83,471.24
  4. Step 4: Simplify right side
    150,539.24x = 17,339,883,016.58
  5. Step 5: Solve for x
    x = 17,339,883,016.58/150,539.24
  6. Step 6: Final answer
    x = 115,185.14

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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.