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Finding the Fourth Proportional to 133,092.20, 183,698.10 and 87,778.28

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Solution

The fourth proportional to 133,092.20, 183,698.10 and 87,778.28 is: 121,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,092.20 : 183,698.10 = 87,778.28 : x
  2. Step 2: Convert to fraction form
    133,092.20/183,698.10 = 87,778.28/x
  3. Step 3: Cross multiply
    133,092.20x = 183,698.10 × 87,778.28
  4. Step 4: Simplify right side
    133,092.20x = 16,124,703,257.27
  5. Step 5: Solve for x
    x = 16,124,703,257.27/133,092.20
  6. Step 6: Final answer
    x = 121,154.38

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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.