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Finding the Fourth Proportional to 161,165.84, 222,229.50 and 110,186.84

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Solution

The fourth proportional to 161,165.84, 222,229.50 and 110,186.84 is: 151,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,165.84 : 222,229.50 = 110,186.84 : x
  2. Step 2: Convert to fraction form
    161,165.84/222,229.50 = 110,186.84/x
  3. Step 3: Cross multiply
    161,165.84x = 222,229.50 × 110,186.84
  4. Step 4: Simplify right side
    161,165.84x = 24,486,766,359.78
  5. Step 5: Solve for x
    x = 24,486,766,359.78/161,165.84
  6. Step 6: Final answer
    x = 151,935.21

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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.