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Finding the Fourth Proportional to 106,993.46, 147,493.77 and 81,455.38

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Solution

The fourth proportional to 106,993.46, 147,493.77 and 81,455.38 is: 112,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,993.46 : 147,493.77 = 81,455.38 : x
  2. Step 2: Convert to fraction form
    106,993.46/147,493.77 = 81,455.38/x
  3. Step 3: Cross multiply
    106,993.46x = 147,493.77 × 81,455.38
  4. Step 4: Simplify right side
    106,993.46x = 12,014,161,082.98
  5. Step 5: Solve for x
    x = 12,014,161,082.98/106,993.46
  6. Step 6: Final answer
    x = 112,288.74

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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.