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Finding the Fourth Proportional to 135,406.96, 186,882.24 and 84,428

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Solution

The fourth proportional to 135,406.96, 186,882.24 and 84,428 is: 116,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,406.96 : 186,882.24 = 84,428 : x
  2. Step 2: Convert to fraction form
    135,406.96/186,882.24 = 84,428/x
  3. Step 3: Cross multiply
    135,406.96x = 186,882.24 × 84,428
  4. Step 4: Simplify right side
    135,406.96x = 15,778,093,758.72
  5. Step 5: Solve for x
    x = 15,778,093,758.72/135,406.96
  6. Step 6: Final answer
    x = 116,523.51

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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.