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Finding the Fourth Proportional to 181,198.10, 271,741.80 and 86,378.30

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Solution

The fourth proportional to 181,198.10, 271,741.80 and 86,378.30 is: 129,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,198.10 : 271,741.80 = 86,378.30 : x
  2. Step 2: Convert to fraction form
    181,198.10/271,741.80 = 86,378.30/x
  3. Step 3: Cross multiply
    181,198.10x = 271,741.80 × 86,378.30
  4. Step 4: Simplify right side
    181,198.10x = 23,472,594,722.94
  5. Step 5: Solve for x
    x = 23,472,594,722.94/181,198.10
  6. Step 6: Final answer
    x = 129,541.06

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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.