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Finding the Fourth Proportional to 150,200.77, 207,277.08 and 83,132.77

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Solution

The fourth proportional to 150,200.77, 207,277.08 and 83,132.77 is: 114,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,200.77 : 207,277.08 = 83,132.77 : x
  2. Step 2: Convert to fraction form
    150,200.77/207,277.08 = 83,132.77/x
  3. Step 3: Cross multiply
    150,200.77x = 207,277.08 × 83,132.77
  4. Step 4: Simplify right side
    150,200.77x = 17,231,517,817.91
  5. Step 5: Solve for x
    x = 17,231,517,817.91/150,200.77
  6. Step 6: Final answer
    x = 114,723.23

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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.