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Finding the Fourth Proportional to 122,188.57, 183,282.72 and 33,442.81

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Solution

The fourth proportional to 122,188.57, 183,282.72 and 33,442.81 is: 50,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,188.57 : 183,282.72 = 33,442.81 : x
  2. Step 2: Convert to fraction form
    122,188.57/183,282.72 = 33,442.81/x
  3. Step 3: Cross multiply
    122,188.57x = 183,282.72 × 33,442.81
  4. Step 4: Simplify right side
    122,188.57x = 6,129,489,181.24
  5. Step 5: Solve for x
    x = 6,129,489,181.24/122,188.57
  6. Step 6: Final answer
    x = 50,164.18

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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.