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Finding the Fourth Proportional to 150,199.77, 207,275.70 and 83,131.77

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Solution

The fourth proportional to 150,199.77, 207,275.70 and 83,131.77 is: 114,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,199.77 : 207,275.70 = 83,131.77 : x
  2. Step 2: Convert to fraction form
    150,199.77/207,275.70 = 83,131.77/x
  3. Step 3: Cross multiply
    150,199.77x = 207,275.70 × 83,131.77
  4. Step 4: Simplify right side
    150,199.77x = 17,231,195,818.99
  5. Step 5: Solve for x
    x = 17,231,195,818.99/150,199.77
  6. Step 6: Final answer
    x = 114,721.85

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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.