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Finding the Fourth Proportional to 195,103.11, 292,654.77 and 54,861.74

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Solution

The fourth proportional to 195,103.11, 292,654.77 and 54,861.74 is: 82,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,103.11 : 292,654.77 = 54,861.74 : x
  2. Step 2: Convert to fraction form
    195,103.11/292,654.77 = 54,861.74/x
  3. Step 3: Cross multiply
    195,103.11x = 292,654.77 × 54,861.74
  4. Step 4: Simplify right side
    195,103.11x = 16,055,549,901.50
  5. Step 5: Solve for x
    x = 16,055,549,901.50/195,103.11
  6. Step 6: Final answer
    x = 82,292.64

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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.