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Finding the Fourth Proportional to 111,832.10, 167,638.80 and 100,022.30

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Solution

The fourth proportional to 111,832.10, 167,638.80 and 100,022.30 is: 149,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,832.10 : 167,638.80 = 100,022.30 : x
  2. Step 2: Convert to fraction form
    111,832.10/167,638.80 = 100,022.30/x
  3. Step 3: Cross multiply
    111,832.10x = 167,638.80 × 100,022.30
  4. Step 4: Simplify right side
    111,832.10x = 16,767,618,345.24
  5. Step 5: Solve for x
    x = 16,767,618,345.24/111,832.10
  6. Step 6: Final answer
    x = 149,935.65

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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.