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Finding the Fourth Proportional to 122,433.80, 183,564.30 and 55,905.80

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Solution

The fourth proportional to 122,433.80, 183,564.30 and 55,905.80 is: 83,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,433.80 : 183,564.30 = 55,905.80 : x
  2. Step 2: Convert to fraction form
    122,433.80/183,564.30 = 55,905.80/x
  3. Step 3: Cross multiply
    122,433.80x = 183,564.30 × 55,905.80
  4. Step 4: Simplify right side
    122,433.80x = 10,262,309,042.94
  5. Step 5: Solve for x
    x = 10,262,309,042.94/122,433.80
  6. Step 6: Final answer
    x = 83,819.25

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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.