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Finding the Fourth Proportional to 110,838, 152,956.44 and 71,163.12

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Solution

The fourth proportional to 110,838, 152,956.44 and 71,163.12 is: 98,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,838 : 152,956.44 = 71,163.12 : x
  2. Step 2: Convert to fraction form
    110,838/152,956.44 = 71,163.12/x
  3. Step 3: Cross multiply
    110,838x = 152,956.44 × 71,163.12
  4. Step 4: Simplify right side
    110,838x = 10,884,857,494.49
  5. Step 5: Solve for x
    x = 10,884,857,494.49/110,838
  6. Step 6: Final answer
    x = 98,205.11

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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.