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Finding the Fourth Proportional to 150,592.12, 207,817.19 and 83,524.12

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Solution

The fourth proportional to 150,592.12, 207,817.19 and 83,524.12 is: 115,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,592.12 : 207,817.19 = 83,524.12 : x
  2. Step 2: Convert to fraction form
    150,592.12/207,817.19 = 83,524.12/x
  3. Step 3: Cross multiply
    150,592.12x = 207,817.19 × 83,524.12
  4. Step 4: Simplify right side
    150,592.12x = 17,357,747,915.62
  5. Step 5: Solve for x
    x = 17,357,747,915.62/150,592.12
  6. Step 6: Final answer
    x = 115,263.32

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