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Finding the Fourth Proportional to 180,813.90, 270,961.65 and 133,056.30

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Solution

The fourth proportional to 180,813.90, 270,961.65 and 133,056.30 is: 199,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,813.90 : 270,961.65 = 133,056.30 : x
  2. Step 2: Convert to fraction form
    180,813.90/270,961.65 = 133,056.30/x
  3. Step 3: Cross multiply
    180,813.90x = 270,961.65 × 133,056.30
  4. Step 4: Simplify right side
    180,813.90x = 36,053,154,590.90
  5. Step 5: Solve for x
    x = 36,053,154,590.90/180,813.90
  6. Step 6: Final answer
    x = 199,393.71

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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.