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Finding the Fourth Proportional to 103,229.56, 154,870.20 and 29,357.56

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Solution

The fourth proportional to 103,229.56, 154,870.20 and 29,357.56 is: 44,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,229.56 : 154,870.20 = 29,357.56 : x
  2. Step 2: Convert to fraction form
    103,229.56/154,870.20 = 29,357.56/x
  3. Step 3: Cross multiply
    103,229.56x = 154,870.20 × 29,357.56
  4. Step 4: Simplify right side
    103,229.56x = 4,546,611,188.71
  5. Step 5: Solve for x
    x = 4,546,611,188.71/103,229.56
  6. Step 6: Final answer
    x = 44,043.69

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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.