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Finding the Fourth Proportional to 146,058.82, 201,563.13 and 82,396.42

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Solution

The fourth proportional to 146,058.82, 201,563.13 and 82,396.42 is: 113,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,058.82 : 201,563.13 = 82,396.42 : x
  2. Step 2: Convert to fraction form
    146,058.82/201,563.13 = 82,396.42/x
  3. Step 3: Cross multiply
    146,058.82x = 201,563.13 × 82,396.42
  4. Step 4: Simplify right side
    146,058.82x = 16,608,080,315.99
  5. Step 5: Solve for x
    x = 16,608,080,315.99/146,058.82
  6. Step 6: Final answer
    x = 113,708.16

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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.