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Finding the Fourth Proportional to 103,056, 154,694.16 and 43,919.52

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Solution

The fourth proportional to 103,056, 154,694.16 and 43,919.52 is: 65,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,056 : 154,694.16 = 43,919.52 : x
  2. Step 2: Convert to fraction form
    103,056/154,694.16 = 43,919.52/x
  3. Step 3: Cross multiply
    103,056x = 154,694.16 × 43,919.52
  4. Step 4: Simplify right side
    103,056x = 6,794,093,254.00
  5. Step 5: Solve for x
    x = 6,794,093,254.00/103,056
  6. Step 6: Final answer
    x = 65,926.23

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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.