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Finding the Fourth Proportional to 106,562.27, 147,054.95 and 58,163.71

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Solution

The fourth proportional to 106,562.27, 147,054.95 and 58,163.71 is: 80,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562.27 : 147,054.95 = 58,163.71 : x
  2. Step 2: Convert to fraction form
    106,562.27/147,054.95 = 58,163.71/x
  3. Step 3: Cross multiply
    106,562.27x = 147,054.95 × 58,163.71
  4. Step 4: Simplify right side
    106,562.27x = 8,553,261,465.86
  5. Step 5: Solve for x
    x = 8,553,261,465.86/106,562.27
  6. Step 6: Final answer
    x = 80,265.38

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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.