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Finding the Fourth Proportional to 150,265.50, 207,372.87 and 83,197.50

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Solution

The fourth proportional to 150,265.50, 207,372.87 and 83,197.50 is: 114,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,265.50 : 207,372.87 = 83,197.50 : x
  2. Step 2: Convert to fraction form
    150,265.50/207,372.87 = 83,197.50/x
  3. Step 3: Cross multiply
    150,265.50x = 207,372.87 × 83,197.50
  4. Step 4: Simplify right side
    150,265.50x = 17,252,904,351.83
  5. Step 5: Solve for x
    x = 17,252,904,351.83/150,265.50
  6. Step 6: Final answer
    x = 114,816.14

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1.5x scale

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.