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Finding the Fourth Proportional to 122,065.60, 183,098.37 and 33,321.46

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Solution

The fourth proportional to 122,065.60, 183,098.37 and 33,321.46 is: 49,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,065.60 : 183,098.37 = 33,321.46 : x
  2. Step 2: Convert to fraction form
    122,065.60/183,098.37 = 33,321.46/x
  3. Step 3: Cross multiply
    122,065.60x = 183,098.37 × 33,321.46
  4. Step 4: Simplify right side
    122,065.60x = 6,101,105,012.02
  5. Step 5: Solve for x
    x = 6,101,105,012.02/122,065.60
  6. Step 6: Final answer
    x = 49,982.18

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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.