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Finding the Fourth Proportional to 150,754.16, 208,041 and 87,091.52

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Solution

The fourth proportional to 150,754.16, 208,041 and 87,091.52 is: 120,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,754.16 : 208,041 = 87,091.52 : x
  2. Step 2: Convert to fraction form
    150,754.16/208,041 = 87,091.52/x
  3. Step 3: Cross multiply
    150,754.16x = 208,041 × 87,091.52
  4. Step 4: Simplify right side
    150,754.16x = 18,118,606,912.32
  5. Step 5: Solve for x
    x = 18,118,606,912.32/150,754.16
  6. Step 6: Final answer
    x = 120,186.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.