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Finding the Fourth Proportional to 122,157.93, 183,234.30 and 33,411.44

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Solution

The fourth proportional to 122,157.93, 183,234.30 and 33,411.44 is: 50,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,157.93 : 183,234.30 = 33,411.44 : x
  2. Step 2: Convert to fraction form
    122,157.93/183,234.30 = 33,411.44/x
  3. Step 3: Cross multiply
    122,157.93x = 183,234.30 × 33,411.44
  4. Step 4: Simplify right side
    122,157.93x = 6,122,121,820.39
  5. Step 5: Solve for x
    x = 6,122,121,820.39/122,157.93
  6. Step 6: Final answer
    x = 50,116.45

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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.