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Finding the Fourth Proportional to 102,794.96, 153,770.04 and 82,058.96

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Solution

The fourth proportional to 102,794.96, 153,770.04 and 82,058.96 is: 122,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,794.96 : 153,770.04 = 82,058.96 : x
  2. Step 2: Convert to fraction form
    102,794.96/153,770.04 = 82,058.96/x
  3. Step 3: Cross multiply
    102,794.96x = 153,770.04 × 82,058.96
  4. Step 4: Simplify right side
    102,794.96x = 12,618,209,561.56
  5. Step 5: Solve for x
    x = 12,618,209,561.56/102,794.96
  6. Step 6: Final answer
    x = 122,751.25

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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.