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Finding the Fourth Proportional to 306,414.92, 459,622.52 and 96,069.26

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Solution

The fourth proportional to 306,414.92, 459,622.52 and 96,069.26 is: 144,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,414.92 : 459,622.52 = 96,069.26 : x
  2. Step 2: Convert to fraction form
    306,414.92/459,622.52 = 96,069.26/x
  3. Step 3: Cross multiply
    306,414.92x = 459,622.52 × 96,069.26
  4. Step 4: Simplify right side
    306,414.92x = 44,155,595,375.74
  5. Step 5: Solve for x
    x = 44,155,595,375.74/306,414.92
  6. Step 6: Final answer
    x = 144,103.93

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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.