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Finding the Fourth Proportional to 180,186.60, 269,891.10 and 149,082.60

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Solution

The fourth proportional to 180,186.60, 269,891.10 and 149,082.60 is: 223,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,186.60 : 269,891.10 = 149,082.60 : x
  2. Step 2: Convert to fraction form
    180,186.60/269,891.10 = 149,082.60/x
  3. Step 3: Cross multiply
    180,186.60x = 269,891.10 × 149,082.60
  4. Step 4: Simplify right side
    180,186.60x = 40,236,066,904.86
  5. Step 5: Solve for x
    x = 40,236,066,904.86/180,186.60
  6. Step 6: Final answer
    x = 223,302.22

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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.