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Finding the Fourth Proportional to 242,918.43, 364,336.34 and 65,385.87

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Solution

The fourth proportional to 242,918.43, 364,336.34 and 65,385.87 is: 98,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,918.43 : 364,336.34 = 65,385.87 : x
  2. Step 2: Convert to fraction form
    242,918.43/364,336.34 = 65,385.87/x
  3. Step 3: Cross multiply
    242,918.43x = 364,336.34 × 65,385.87
  4. Step 4: Simplify right side
    242,918.43x = 23,822,448,236.59
  5. Step 5: Solve for x
    x = 23,822,448,236.59/242,918.43
  6. Step 6: Final answer
    x = 98,067.69

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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.