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Finding the Fourth Proportional to 189,301.40, 261,576.13 and 143,900.56

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Solution

The fourth proportional to 189,301.40, 261,576.13 and 143,900.56 is: 198,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,301.40 : 261,576.13 = 143,900.56 : x
  2. Step 2: Convert to fraction form
    189,301.40/261,576.13 = 143,900.56/x
  3. Step 3: Cross multiply
    189,301.40x = 261,576.13 × 143,900.56
  4. Step 4: Simplify right side
    189,301.40x = 37,640,950,796.58
  5. Step 5: Solve for x
    x = 37,640,950,796.58/189,301.40
  6. Step 6: Final answer
    x = 198,841.38

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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.