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Finding the Fourth Proportional to 270,201.80, 405,533.10 and 120,672.20

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Solution

The fourth proportional to 270,201.80, 405,533.10 and 120,672.20 is: 181,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,201.80 : 405,533.10 = 120,672.20 : x
  2. Step 2: Convert to fraction form
    270,201.80/405,533.10 = 120,672.20/x
  3. Step 3: Cross multiply
    270,201.80x = 405,533.10 × 120,672.20
  4. Step 4: Simplify right side
    270,201.80x = 48,936,571,349.82
  5. Step 5: Solve for x
    x = 48,936,571,349.82/270,201.80
  6. Step 6: Final answer
    x = 181,111.20

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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.