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Finding the Fourth Proportional to 180,802.90, 270,945.15 and 133,045.30

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Solution

The fourth proportional to 180,802.90, 270,945.15 and 133,045.30 is: 199,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,802.90 : 270,945.15 = 133,045.30 : x
  2. Step 2: Convert to fraction form
    180,802.90/270,945.15 = 133,045.30/x
  3. Step 3: Cross multiply
    180,802.90x = 270,945.15 × 133,045.30
  4. Step 4: Simplify right side
    180,802.90x = 36,047,978,765.30
  5. Step 5: Solve for x
    x = 36,047,978,765.30/180,802.90
  6. Step 6: Final answer
    x = 199,377.22

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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.