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Finding the Fourth Proportional to 150,270.14, 207,379.26 and 83,202.14

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Solution

The fourth proportional to 150,270.14, 207,379.26 and 83,202.14 is: 114,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,270.14 : 207,379.26 = 83,202.14 : x
  2. Step 2: Convert to fraction form
    150,270.14/207,379.26 = 83,202.14/x
  3. Step 3: Cross multiply
    150,270.14x = 207,379.26 × 83,202.14
  4. Step 4: Simplify right side
    150,270.14x = 17,254,398,223.62
  5. Step 5: Solve for x
    x = 17,254,398,223.62/150,270.14
  6. Step 6: Final answer
    x = 114,822.53

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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.