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Finding the Fourth Proportional to 100,176.75, 150,133.91 and 55,824.39

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Solution

The fourth proportional to 100,176.75, 150,133.91 and 55,824.39 is: 83,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176.75 : 150,133.91 = 55,824.39 : x
  2. Step 2: Convert to fraction form
    100,176.75/150,133.91 = 55,824.39/x
  3. Step 3: Cross multiply
    100,176.75x = 150,133.91 × 55,824.39
  4. Step 4: Simplify right side
    100,176.75x = 8,381,133,664.94
  5. Step 5: Solve for x
    x = 8,381,133,664.94/100,176.75
  6. Step 6: Final answer
    x = 83,663.46

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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.