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Finding the Fourth Proportional to 138,674.38, 191,394.14 and 80,522.10

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Solution

The fourth proportional to 138,674.38, 191,394.14 and 80,522.10 is: 111,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,674.38 : 191,394.14 = 80,522.10 : x
  2. Step 2: Convert to fraction form
    138,674.38/191,394.14 = 80,522.10/x
  3. Step 3: Cross multiply
    138,674.38x = 191,394.14 × 80,522.10
  4. Step 4: Simplify right side
    138,674.38x = 15,411,458,130.82
  5. Step 5: Solve for x
    x = 15,411,458,130.82/138,674.38
  6. Step 6: Final answer
    x = 111,134.14

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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.