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Finding the Fourth Proportional to 150,595.86, 207,823.89 and 82,612.97

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Solution

The fourth proportional to 150,595.86, 207,823.89 and 82,612.97 is: 114,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,595.86 : 207,823.89 = 82,612.97 : x
  2. Step 2: Convert to fraction form
    150,595.86/207,823.89 = 82,612.97/x
  3. Step 3: Cross multiply
    150,595.86x = 207,823.89 × 82,612.97
  4. Step 4: Simplify right side
    150,595.86x = 17,168,947,750.73
  5. Step 5: Solve for x
    x = 17,168,947,750.73/150,595.86
  6. Step 6: Final answer
    x = 114,006.77

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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.