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Finding the Fourth Proportional to 180,803.90, 270,946.65 and 133,046.30

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Solution

The fourth proportional to 180,803.90, 270,946.65 and 133,046.30 is: 199,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,803.90 : 270,946.65 = 133,046.30 : x
  2. Step 2: Convert to fraction form
    180,803.90/270,946.65 = 133,046.30/x
  3. Step 3: Cross multiply
    180,803.90x = 270,946.65 × 133,046.30
  4. Step 4: Simplify right side
    180,803.90x = 36,048,449,279.90
  5. Step 5: Solve for x
    x = 36,048,449,279.90/180,803.90
  6. Step 6: Final answer
    x = 199,378.72

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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.