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Finding the Fourth Proportional to 150,136.84, 207,191.86 and 83,069.96

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Solution

The fourth proportional to 150,136.84, 207,191.86 and 83,069.96 is: 114,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,136.84 : 207,191.86 = 83,069.96 : x
  2. Step 2: Convert to fraction form
    150,136.84/207,191.86 = 83,069.96/x
  3. Step 3: Cross multiply
    150,136.84x = 207,191.86 × 83,069.96
  4. Step 4: Simplify right side
    150,136.84x = 17,211,419,522.53
  5. Step 5: Solve for x
    x = 17,211,419,522.53/150,136.84
  6. Step 6: Final answer
    x = 114,638.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.