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Finding the Fourth Proportional to 122,416.60, 183,614.10 and 33,662.20

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Solution

The fourth proportional to 122,416.60, 183,614.10 and 33,662.20 is: 50,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,416.60 : 183,614.10 = 33,662.20 : x
  2. Step 2: Convert to fraction form
    122,416.60/183,614.10 = 33,662.20/x
  3. Step 3: Cross multiply
    122,416.60x = 183,614.10 × 33,662.20
  4. Step 4: Simplify right side
    122,416.60x = 6,180,854,557.02
  5. Step 5: Solve for x
    x = 6,180,854,557.02/122,416.60
  6. Step 6: Final answer
    x = 50,490.33

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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.