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Finding the Fourth Proportional to 270,187.80, 405,512.10 and 120,658.20

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Solution

The fourth proportional to 270,187.80, 405,512.10 and 120,658.20 is: 181,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,187.80 : 405,512.10 = 120,658.20 : x
  2. Step 2: Convert to fraction form
    270,187.80/405,512.10 = 120,658.20/x
  3. Step 3: Cross multiply
    270,187.80x = 405,512.10 × 120,658.20
  4. Step 4: Simplify right side
    270,187.80x = 48,928,360,064.22
  5. Step 5: Solve for x
    x = 48,928,360,064.22/270,187.80
  6. Step 6: Final answer
    x = 181,090.19

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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.