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Finding the Fourth Proportional to 409,507.76, 614,239.22 and 125,198.16

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Solution

The fourth proportional to 409,507.76, 614,239.22 and 125,198.16 is: 187,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,507.76 : 614,239.22 = 125,198.16 : x
  2. Step 2: Convert to fraction form
    409,507.76/614,239.22 = 125,198.16/x
  3. Step 3: Cross multiply
    409,507.76x = 614,239.22 × 125,198.16
  4. Step 4: Simplify right side
    409,507.76x = 76,901,620,143.84
  5. Step 5: Solve for x
    x = 76,901,620,143.84/409,507.76
  6. Step 6: Final answer
    x = 187,790.39

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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.