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Finding the Fourth Proportional to 180,152.64, 270,187.65 and 67,844.52

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Solution

The fourth proportional to 180,152.64, 270,187.65 and 67,844.52 is: 101,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,152.64 : 270,187.65 = 67,844.52 : x
  2. Step 2: Convert to fraction form
    180,152.64/270,187.65 = 67,844.52/x
  3. Step 3: Cross multiply
    180,152.64x = 270,187.65 × 67,844.52
  4. Step 4: Simplify right side
    180,152.64x = 18,330,751,424.18
  5. Step 5: Solve for x
    x = 18,330,751,424.18/180,152.64
  6. Step 6: Final answer
    x = 101,751.22

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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.