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Finding the Fourth Proportional to 150,549.37, 207,761.95 and 82,569.05

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Solution

The fourth proportional to 150,549.37, 207,761.95 and 82,569.05 is: 113,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,549.37 : 207,761.95 = 82,569.05 : x
  2. Step 2: Convert to fraction form
    150,549.37/207,761.95 = 82,569.05/x
  3. Step 3: Cross multiply
    150,549.37x = 207,761.95 × 82,569.05
  4. Step 4: Simplify right side
    150,549.37x = 17,154,706,424.80
  5. Step 5: Solve for x
    x = 17,154,706,424.80/150,549.37
  6. Step 6: Final answer
    x = 113,947.38

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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.