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Finding the Fourth Proportional to 105,434.88, 157,977.30 and 74,204.52

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Solution

The fourth proportional to 105,434.88, 157,977.30 and 74,204.52 is: 111,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,434.88 : 157,977.30 = 74,204.52 : x
  2. Step 2: Convert to fraction form
    105,434.88/157,977.30 = 74,204.52/x
  3. Step 3: Cross multiply
    105,434.88x = 157,977.30 × 74,204.52
  4. Step 4: Simplify right side
    105,434.88x = 11,722,629,717.40
  5. Step 5: Solve for x
    x = 11,722,629,717.40/105,434.88
  6. Step 6: Final answer
    x = 111,183.60

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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.