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Finding the Fourth Proportional to 100,238.49, 150,299.42 and 37,913.85

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Solution

The fourth proportional to 100,238.49, 150,299.42 and 37,913.85 is: 56,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,238.49 : 150,299.42 = 37,913.85 : x
  2. Step 2: Convert to fraction form
    100,238.49/150,299.42 = 37,913.85/x
  3. Step 3: Cross multiply
    100,238.49x = 150,299.42 × 37,913.85
  4. Step 4: Simplify right side
    100,238.49x = 5,698,429,475.40
  5. Step 5: Solve for x
    x = 5,698,429,475.40/100,238.49
  6. Step 6: Final answer
    x = 56,848.72

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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.