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Finding the Fourth Proportional to 150,597.10, 207,825.62 and 82,614.22

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Solution

The fourth proportional to 150,597.10, 207,825.62 and 82,614.22 is: 114,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,597.10 : 207,825.62 = 82,614.22 : x
  2. Step 2: Convert to fraction form
    150,597.10/207,825.62 = 82,614.22/x
  3. Step 3: Cross multiply
    150,597.10x = 207,825.62 × 82,614.22
  4. Step 4: Simplify right side
    150,597.10x = 17,169,351,492.32
  5. Step 5: Solve for x
    x = 17,169,351,492.32/150,597.10
  6. Step 6: Final answer
    x = 114,008.51

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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.