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Finding the Fourth Proportional to 106,859.82, 160,230.49 and 43,724.24

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Solution

The fourth proportional to 106,859.82, 160,230.49 and 43,724.24 is: 65,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,859.82 : 160,230.49 = 43,724.24 : x
  2. Step 2: Convert to fraction form
    106,859.82/160,230.49 = 43,724.24/x
  3. Step 3: Cross multiply
    106,859.82x = 160,230.49 × 43,724.24
  4. Step 4: Simplify right side
    106,859.82x = 7,005,956,090.48
  5. Step 5: Solve for x
    x = 7,005,956,090.48/106,859.82
  6. Step 6: Final answer
    x = 65,562.12

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1.5x scale

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.