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Finding the Fourth Proportional to 106,021.62, 158,824.35 and 61,555.14

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Solution

The fourth proportional to 106,021.62, 158,824.35 and 61,555.14 is: 92,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,021.62 : 158,824.35 = 61,555.14 : x
  2. Step 2: Convert to fraction form
    106,021.62/158,824.35 = 61,555.14/x
  3. Step 3: Cross multiply
    106,021.62x = 158,824.35 × 61,555.14
  4. Step 4: Simplify right side
    106,021.62x = 9,776,455,099.66
  5. Step 5: Solve for x
    x = 9,776,455,099.66/106,021.62
  6. Step 6: Final answer
    x = 92,211.90

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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.