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Finding the Fourth Proportional to 122,697.96, 183,919.26 and 83,258.28

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Solution

The fourth proportional to 122,697.96, 183,919.26 and 83,258.28 is: 124,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,697.96 : 183,919.26 = 83,258.28 : x
  2. Step 2: Convert to fraction form
    122,697.96/183,919.26 = 83,258.28/x
  3. Step 3: Cross multiply
    122,697.96x = 183,919.26 × 83,258.28
  4. Step 4: Simplify right side
    122,697.96x = 15,312,801,246.47
  5. Step 5: Solve for x
    x = 15,312,801,246.47/122,697.96
  6. Step 6: Final answer
    x = 124,800.78

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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.