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Finding the Fourth Proportional to 92,195, 138,090.19 and 76,218.96

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Solution

The fourth proportional to 92,195, 138,090.19 and 76,218.96 is: 114,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,195 : 138,090.19 = 76,218.96 : x
  2. Step 2: Convert to fraction form
    92,195/138,090.19 = 76,218.96/x
  3. Step 3: Cross multiply
    92,195x = 138,090.19 × 76,218.96
  4. Step 4: Simplify right side
    92,195x = 10,525,090,668.00
  5. Step 5: Solve for x
    x = 10,525,090,668.00/92,195
  6. Step 6: Final answer
    x = 114,161.19

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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.