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Finding the Fourth Proportional to 181,206.30, 271,808.10 and 54,846.30

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Solution

The fourth proportional to 181,206.30, 271,808.10 and 54,846.30 is: 82,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,206.30 : 271,808.10 = 54,846.30 : x
  2. Step 2: Convert to fraction form
    181,206.30/271,808.10 = 54,846.30/x
  3. Step 3: Cross multiply
    181,206.30x = 271,808.10 × 54,846.30
  4. Step 4: Simplify right side
    181,206.30x = 14,907,668,595.03
  5. Step 5: Solve for x
    x = 14,907,668,595.03/181,206.30
  6. Step 6: Final answer
    x = 82,269.04

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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.