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Finding the Fourth Proportional to 175,651, 242,398.38 and 96,163

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Solution

The fourth proportional to 175,651, 242,398.38 and 96,163 is: 132,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,651 : 242,398.38 = 96,163 : x
  2. Step 2: Convert to fraction form
    175,651/242,398.38 = 96,163/x
  3. Step 3: Cross multiply
    175,651x = 242,398.38 × 96,163
  4. Step 4: Simplify right side
    175,651x = 23,309,755,415.94
  5. Step 5: Solve for x
    x = 23,309,755,415.94/175,651
  6. Step 6: Final answer
    x = 132,704.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.