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Finding the Fourth Proportional to 122,489.92, 183,562.26 and 97,418.80

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Solution

The fourth proportional to 122,489.92, 183,562.26 and 97,418.80 is: 145,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,489.92 : 183,562.26 = 97,418.80 : x
  2. Step 2: Convert to fraction form
    122,489.92/183,562.26 = 97,418.80/x
  3. Step 3: Cross multiply
    122,489.92x = 183,562.26 × 97,418.80
  4. Step 4: Simplify right side
    122,489.92x = 17,882,415,094.49
  5. Step 5: Solve for x
    x = 17,882,415,094.49/122,489.92
  6. Step 6: Final answer
    x = 145,990.91

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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.