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Finding the Fourth Proportional to 150,591.69, 207,821.03 and 83,522.25

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Solution

The fourth proportional to 150,591.69, 207,821.03 and 83,522.25 is: 115,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,591.69 : 207,821.03 = 83,522.25 : x
  2. Step 2: Convert to fraction form
    150,591.69/207,821.03 = 83,522.25/x
  3. Step 3: Cross multiply
    150,591.69x = 207,821.03 × 83,522.25
  4. Step 4: Simplify right side
    150,591.69x = 17,357,679,605.31
  5. Step 5: Solve for x
    x = 17,357,679,605.31/150,591.69
  6. Step 6: Final answer
    x = 115,263.20

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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.