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Finding the Fourth Proportional to 168,982.21, 233,065.24 and 117,978.13

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Solution

The fourth proportional to 168,982.21, 233,065.24 and 117,978.13 is: 162,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,982.21 : 233,065.24 = 117,978.13 : x
  2. Step 2: Convert to fraction form
    168,982.21/233,065.24 = 117,978.13/x
  3. Step 3: Cross multiply
    168,982.21x = 233,065.24 × 117,978.13
  4. Step 4: Simplify right side
    168,982.21x = 27,496,601,183.20
  5. Step 5: Solve for x
    x = 27,496,601,183.20/168,982.21
  6. Step 6: Final answer
    x = 162,718.91

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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.