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Finding the Fourth Proportional to 122,194.10, 183,290.94 and 33,448.34

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Solution

The fourth proportional to 122,194.10, 183,290.94 and 33,448.34 is: 50,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,194.10 : 183,290.94 = 33,448.34 : x
  2. Step 2: Convert to fraction form
    122,194.10/183,290.94 = 33,448.34/x
  3. Step 3: Cross multiply
    122,194.10x = 183,290.94 × 33,448.34
  4. Step 4: Simplify right side
    122,194.10x = 6,130,777,680.04
  5. Step 5: Solve for x
    x = 6,130,777,680.04/122,194.10
  6. Step 6: Final answer
    x = 50,172.45

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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.