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Finding the Fourth Proportional to 180,684.66, 270,767.26 and 101,631.90

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Solution

The fourth proportional to 180,684.66, 270,767.26 and 101,631.90 is: 152,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,684.66 : 270,767.26 = 101,631.90 : x
  2. Step 2: Convert to fraction form
    180,684.66/270,767.26 = 101,631.90/x
  3. Step 3: Cross multiply
    180,684.66x = 270,767.26 × 101,631.90
  4. Step 4: Simplify right side
    180,684.66x = 27,518,591,091.59
  5. Step 5: Solve for x
    x = 27,518,591,091.59/180,684.66
  6. Step 6: Final answer
    x = 152,301.76

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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.