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Finding the Fourth Proportional to 150,278.60, 207,384.90 and 82,296.20

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Solution

The fourth proportional to 150,278.60, 207,384.90 and 82,296.20 is: 113,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,278.60 : 207,384.90 = 82,296.20 : x
  2. Step 2: Convert to fraction form
    150,278.60/207,384.90 = 82,296.20/x
  3. Step 3: Cross multiply
    150,278.60x = 207,384.90 × 82,296.20
  4. Step 4: Simplify right side
    150,278.60x = 17,066,989,207.38
  5. Step 5: Solve for x
    x = 17,066,989,207.38/150,278.60
  6. Step 6: Final answer
    x = 113,568.99

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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.