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Finding the Fourth Proportional to 175,793.96, 242,578.29 and 98,255.09

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Solution

The fourth proportional to 175,793.96, 242,578.29 and 98,255.09 is: 135,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,793.96 : 242,578.29 = 98,255.09 : x
  2. Step 2: Convert to fraction form
    175,793.96/242,578.29 = 98,255.09/x
  3. Step 3: Cross multiply
    175,793.96x = 242,578.29 × 98,255.09
  4. Step 4: Simplify right side
    175,793.96x = 23,834,552,690.90
  5. Step 5: Solve for x
    x = 23,834,552,690.90/175,793.96
  6. Step 6: Final answer
    x = 135,582.32

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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.