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Finding the Fourth Proportional to 106,179.88, 159,082.98 and 99,858.64

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Solution

The fourth proportional to 106,179.88, 159,082.98 and 99,858.64 is: 149,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,179.88 : 159,082.98 = 99,858.64 : x
  2. Step 2: Convert to fraction form
    106,179.88/159,082.98 = 99,858.64/x
  3. Step 3: Cross multiply
    106,179.88x = 159,082.98 × 99,858.64
  4. Step 4: Simplify right side
    106,179.88x = 15,885,810,304.99
  5. Step 5: Solve for x
    x = 15,885,810,304.99/106,179.88
  6. Step 6: Final answer
    x = 149,612.25

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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.