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Finding the Fourth Proportional to 150,269, 207,371.22 and 83,205.32

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Solution

The fourth proportional to 150,269, 207,371.22 and 83,205.32 is: 114,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,269 : 207,371.22 = 83,205.32 : x
  2. Step 2: Convert to fraction form
    150,269/207,371.22 = 83,205.32/x
  3. Step 3: Cross multiply
    150,269x = 207,371.22 × 83,205.32
  4. Step 4: Simplify right side
    150,269x = 17,254,388,718.89
  5. Step 5: Solve for x
    x = 17,254,388,718.89/150,269
  6. Step 6: Final answer
    x = 114,823.34

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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.