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Finding the Fourth Proportional to 195,098.98, 292,648.58 and 54,857.60

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Solution

The fourth proportional to 195,098.98, 292,648.58 and 54,857.60 is: 82,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,098.98 : 292,648.58 = 54,857.60 : x
  2. Step 2: Convert to fraction form
    195,098.98/292,648.58 = 54,857.60/x
  3. Step 3: Cross multiply
    195,098.98x = 292,648.58 × 54,857.60
  4. Step 4: Simplify right side
    195,098.98x = 16,053,999,953.97
  5. Step 5: Solve for x
    x = 16,053,999,953.97/195,098.98
  6. Step 6: Final answer
    x = 82,286.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.