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Finding the Fourth Proportional to 107,141.54, 160,696.81 and 75,023.21

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Solution

The fourth proportional to 107,141.54, 160,696.81 and 75,023.21 is: 112,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,141.54 : 160,696.81 = 75,023.21 : x
  2. Step 2: Convert to fraction form
    107,141.54/160,696.81 = 75,023.21/x
  3. Step 3: Cross multiply
    107,141.54x = 160,696.81 × 75,023.21
  4. Step 4: Simplify right side
    107,141.54x = 12,055,991,018.48
  5. Step 5: Solve for x
    x = 12,055,991,018.48/107,141.54
  6. Step 6: Final answer
    x = 112,523.97

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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.