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Finding the Fourth Proportional to 106,993.58, 147,649.33 and 59,245.91

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Solution

The fourth proportional to 106,993.58, 147,649.33 and 59,245.91 is: 81,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,993.58 : 147,649.33 = 59,245.91 : x
  2. Step 2: Convert to fraction form
    106,993.58/147,649.33 = 59,245.91/x
  3. Step 3: Cross multiply
    106,993.58x = 147,649.33 × 59,245.91
  4. Step 4: Simplify right side
    106,993.58x = 8,747,618,030.38
  5. Step 5: Solve for x
    x = 8,747,618,030.38/106,993.58
  6. Step 6: Final answer
    x = 81,758.34

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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.