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Finding the Fourth Proportional to 122,157.88, 183,237.62 and 33,409.40

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Solution

The fourth proportional to 122,157.88, 183,237.62 and 33,409.40 is: 50,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,157.88 : 183,237.62 = 33,409.40 : x
  2. Step 2: Convert to fraction form
    122,157.88/183,237.62 = 33,409.40/x
  3. Step 3: Cross multiply
    122,157.88x = 183,237.62 × 33,409.40
  4. Step 4: Simplify right side
    122,157.88x = 6,121,858,941.63
  5. Step 5: Solve for x
    x = 6,121,858,941.63/122,157.88
  6. Step 6: Final answer
    x = 50,114.32

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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.