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Finding the Fourth Proportional to 102,104.80, 140,894.64 and 57,391.84

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Solution

The fourth proportional to 102,104.80, 140,894.64 and 57,391.84 is: 79,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.80 : 140,894.64 = 57,391.84 : x
  2. Step 2: Convert to fraction form
    102,104.80/140,894.64 = 57,391.84/x
  3. Step 3: Cross multiply
    102,104.80x = 140,894.64 × 57,391.84
  4. Step 4: Simplify right side
    102,104.80x = 8,086,202,635.74
  5. Step 5: Solve for x
    x = 8,086,202,635.74/102,104.80
  6. Step 6: Final answer
    x = 79,195.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.