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Finding the Fourth Proportional to 106,992.47, 147,649.58 and 59,245.81

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Solution

The fourth proportional to 106,992.47, 147,649.58 and 59,245.81 is: 81,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992.47 : 147,649.58 = 59,245.81 : x
  2. Step 2: Convert to fraction form
    106,992.47/147,649.58 = 59,245.81/x
  3. Step 3: Cross multiply
    106,992.47x = 147,649.58 × 59,245.81
  4. Step 4: Simplify right side
    106,992.47x = 8,747,617,928.78
  5. Step 5: Solve for x
    x = 8,747,617,928.78/106,992.47
  6. Step 6: Final answer
    x = 81,759.19

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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.