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Finding the Fourth Proportional to 180,586.90, 270,631.24 and 136,164.83

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Solution

The fourth proportional to 180,586.90, 270,631.24 and 136,164.83 is: 204,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,586.90 : 270,631.24 = 136,164.83 : x
  2. Step 2: Convert to fraction form
    180,586.90/270,631.24 = 136,164.83/x
  3. Step 3: Cross multiply
    180,586.90x = 270,631.24 × 136,164.83
  4. Step 4: Simplify right side
    180,586.90x = 36,850,456,106.47
  5. Step 5: Solve for x
    x = 36,850,456,106.47/180,586.90
  6. Step 6: Final answer
    x = 204,059.41

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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.