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Finding the Fourth Proportional to 236,366, 354,350.16 and 109,942

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Solution

The fourth proportional to 236,366, 354,350.16 and 109,942 is: 164,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,366 : 354,350.16 = 109,942 : x
  2. Step 2: Convert to fraction form
    236,366/354,350.16 = 109,942/x
  3. Step 3: Cross multiply
    236,366x = 354,350.16 × 109,942
  4. Step 4: Simplify right side
    236,366x = 38,957,965,290.72
  5. Step 5: Solve for x
    x = 38,957,965,290.72/236,366
  6. Step 6: Final answer
    x = 164,820.51

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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.