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Finding the Fourth Proportional to 195,048.81, 292,584.15 and 54,796.50

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Solution

The fourth proportional to 195,048.81, 292,584.15 and 54,796.50 is: 82,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,048.81 : 292,584.15 = 54,796.50 : x
  2. Step 2: Convert to fraction form
    195,048.81/292,584.15 = 54,796.50/x
  3. Step 3: Cross multiply
    195,048.81x = 292,584.15 × 54,796.50
  4. Step 4: Simplify right side
    195,048.81x = 16,032,587,375.48
  5. Step 5: Solve for x
    x = 16,032,587,375.48/195,048.81
  6. Step 6: Final answer
    x = 82,197.82

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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.