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Finding the Fourth Proportional to 209,285.78, 288,806.41 and 113,792.55

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Solution

The fourth proportional to 209,285.78, 288,806.41 and 113,792.55 is: 157,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,285.78 : 288,806.41 = 113,792.55 : x
  2. Step 2: Convert to fraction form
    209,285.78/288,806.41 = 113,792.55/x
  3. Step 3: Cross multiply
    209,285.78x = 288,806.41 × 113,792.55
  4. Step 4: Simplify right side
    209,285.78x = 32,864,016,909.46
  5. Step 5: Solve for x
    x = 32,864,016,909.46/209,285.78
  6. Step 6: Final answer
    x = 157,029.39

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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.