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Finding the Fourth Proportional to 106,577.72, 159,866.30 and 100,082.06

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Solution

The fourth proportional to 106,577.72, 159,866.30 and 100,082.06 is: 150,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,577.72 : 159,866.30 = 100,082.06 : x
  2. Step 2: Convert to fraction form
    106,577.72/159,866.30 = 100,082.06/x
  3. Step 3: Cross multiply
    106,577.72x = 159,866.30 × 100,082.06
  4. Step 4: Simplify right side
    106,577.72x = 15,999,748,628.58
  5. Step 5: Solve for x
    x = 15,999,748,628.58/106,577.72
  6. Step 6: Final answer
    x = 150,122.83

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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.