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Finding the Fourth Proportional to 122,283.96, 183,407.04 and 50,244.18

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Solution

The fourth proportional to 122,283.96, 183,407.04 and 50,244.18 is: 75,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,283.96 : 183,407.04 = 50,244.18 : x
  2. Step 2: Convert to fraction form
    122,283.96/183,407.04 = 50,244.18/x
  3. Step 3: Cross multiply
    122,283.96x = 183,407.04 × 50,244.18
  4. Step 4: Simplify right side
    122,283.96x = 9,215,136,331.03
  5. Step 5: Solve for x
    x = 9,215,136,331.03/122,283.96
  6. Step 6: Final answer
    x = 75,358.50

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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.