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Finding the Fourth Proportional to 101,186.54, 151,758.09 and 30,092.06

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Solution

The fourth proportional to 101,186.54, 151,758.09 and 30,092.06 is: 45,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,186.54 : 151,758.09 = 30,092.06 : x
  2. Step 2: Convert to fraction form
    101,186.54/151,758.09 = 30,092.06/x
  3. Step 3: Cross multiply
    101,186.54x = 151,758.09 × 30,092.06
  4. Step 4: Simplify right side
    101,186.54x = 4,566,713,549.77
  5. Step 5: Solve for x
    x = 4,566,713,549.77/101,186.54
  6. Step 6: Final answer
    x = 45,131.63

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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.