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Finding the Fourth Proportional to 109,049.69, 150,472.26 and 61,293.93

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Solution

The fourth proportional to 109,049.69, 150,472.26 and 61,293.93 is: 84,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,049.69 : 150,472.26 = 61,293.93 : x
  2. Step 2: Convert to fraction form
    109,049.69/150,472.26 = 61,293.93/x
  3. Step 3: Cross multiply
    109,049.69x = 150,472.26 × 61,293.93
  4. Step 4: Simplify right side
    109,049.69x = 9,223,036,171.38
  5. Step 5: Solve for x
    x = 9,223,036,171.38/109,049.69
  6. Step 6: Final answer
    x = 84,576.46

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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.