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Finding the Fourth Proportional to 180,385.91, 270,495.46 and 101,500.13

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Solution

The fourth proportional to 180,385.91, 270,495.46 and 101,500.13 is: 152,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,385.91 : 270,495.46 = 101,500.13 : x
  2. Step 2: Convert to fraction form
    180,385.91/270,495.46 = 101,500.13/x
  3. Step 3: Cross multiply
    180,385.91x = 270,495.46 × 101,500.13
  4. Step 4: Simplify right side
    180,385.91x = 27,455,322,494.43
  5. Step 5: Solve for x
    x = 27,455,322,494.43/180,385.91
  6. Step 6: Final answer
    x = 152,203.26

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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.