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Finding the Fourth Proportional to 194,818.60, 292,257.10 and 82,498.60

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Solution

The fourth proportional to 194,818.60, 292,257.10 and 82,498.60 is: 123,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,818.60 : 292,257.10 = 82,498.60 : x
  2. Step 2: Convert to fraction form
    194,818.60/292,257.10 = 82,498.60/x
  3. Step 3: Cross multiply
    194,818.60x = 292,257.10 × 82,498.60
  4. Step 4: Simplify right side
    194,818.60x = 24,110,801,590.06
  5. Step 5: Solve for x
    x = 24,110,801,590.06/194,818.60
  6. Step 6: Final answer
    x = 123,760.27

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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.