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Finding the Fourth Proportional to 117,163.76, 175,709.25 and 42,274.16

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Solution

The fourth proportional to 117,163.76, 175,709.25 and 42,274.16 is: 63,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,163.76 : 175,709.25 = 42,274.16 : x
  2. Step 2: Convert to fraction form
    117,163.76/175,709.25 = 42,274.16/x
  3. Step 3: Cross multiply
    117,163.76x = 175,709.25 × 42,274.16
  4. Step 4: Simplify right side
    117,163.76x = 7,427,960,947.98
  5. Step 5: Solve for x
    x = 7,427,960,947.98/117,163.76
  6. Step 6: Final answer
    x = 63,398.11

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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.