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Finding the Fourth Proportional to 180,817.90, 270,967.65 and 133,060.30

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Solution

The fourth proportional to 180,817.90, 270,967.65 and 133,060.30 is: 199,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,817.90 : 270,967.65 = 133,060.30 : x
  2. Step 2: Convert to fraction form
    180,817.90/270,967.65 = 133,060.30/x
  3. Step 3: Cross multiply
    180,817.90x = 270,967.65 × 133,060.30
  4. Step 4: Simplify right side
    180,817.90x = 36,055,036,799.30
  5. Step 5: Solve for x
    x = 36,055,036,799.30/180,817.90
  6. Step 6: Final answer
    x = 199,399.71

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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.