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Finding the Fourth Proportional to 150,700.80, 207,965.76 and 82,715.76

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Solution

The fourth proportional to 150,700.80, 207,965.76 and 82,715.76 is: 114,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,700.80 : 207,965.76 = 82,715.76 : x
  2. Step 2: Convert to fraction form
    150,700.80/207,965.76 = 82,715.76/x
  3. Step 3: Cross multiply
    150,700.80x = 207,965.76 × 82,715.76
  4. Step 4: Simplify right side
    150,700.80x = 17,202,045,892.38
  5. Step 5: Solve for x
    x = 17,202,045,892.38/150,700.80
  6. Step 6: Final answer
    x = 114,147.01

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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.