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Finding the Fourth Proportional to 147,393.29, 203,377.88 and 82,854

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Solution

The fourth proportional to 147,393.29, 203,377.88 and 82,854 is: 114,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,393.29 : 203,377.88 = 82,854 : x
  2. Step 2: Convert to fraction form
    147,393.29/203,377.88 = 82,854/x
  3. Step 3: Cross multiply
    147,393.29x = 203,377.88 × 82,854
  4. Step 4: Simplify right side
    147,393.29x = 16,850,670,455.25
  5. Step 5: Solve for x
    x = 16,850,670,455.25/147,393.29
  6. Step 6: Final answer
    x = 114,324.55

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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.