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Finding the Fourth Proportional to 242,511.62, 363,811.16 and 109,454.54

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Solution

The fourth proportional to 242,511.62, 363,811.16 and 109,454.54 is: 164,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,511.62 : 363,811.16 = 109,454.54 : x
  2. Step 2: Convert to fraction form
    242,511.62/363,811.16 = 109,454.54/x
  3. Step 3: Cross multiply
    242,511.62x = 363,811.16 × 109,454.54
  4. Step 4: Simplify right side
    242,511.62x = 39,820,781,619.25
  5. Step 5: Solve for x
    x = 39,820,781,619.25/242,511.62
  6. Step 6: Final answer
    x = 164,201.54

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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.