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Finding the Fourth Proportional to 301,186.49, 451,687.59 and 101,453.31

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Solution

The fourth proportional to 301,186.49, 451,687.59 and 101,453.31 is: 152,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,186.49 : 451,687.59 = 101,453.31 : x
  2. Step 2: Convert to fraction form
    301,186.49/451,687.59 = 101,453.31/x
  3. Step 3: Cross multiply
    301,186.49x = 451,687.59 × 101,453.31
  4. Step 4: Simplify right side
    301,186.49x = 45,825,201,091.42
  5. Step 5: Solve for x
    x = 45,825,201,091.42/301,186.49
  6. Step 6: Final answer
    x = 152,148.93

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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.