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Finding the Fourth Proportional to 101,853.66, 152,419.32 and 75,136.44

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Solution

The fourth proportional to 101,853.66, 152,419.32 and 75,136.44 is: 112,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,853.66 : 152,419.32 = 75,136.44 : x
  2. Step 2: Convert to fraction form
    101,853.66/152,419.32 = 75,136.44/x
  3. Step 3: Cross multiply
    101,853.66x = 152,419.32 × 75,136.44
  4. Step 4: Simplify right side
    101,853.66x = 11,452,245,092.02
  5. Step 5: Solve for x
    x = 11,452,245,092.02/101,853.66
  6. Step 6: Final answer
    x = 112,438.23

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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.