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Finding the Fourth Proportional to 222,082.97, 306,475.44 and 120,108.45

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Solution

The fourth proportional to 222,082.97, 306,475.44 and 120,108.45 is: 165,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,082.97 : 306,475.44 = 120,108.45 : x
  2. Step 2: Convert to fraction form
    222,082.97/306,475.44 = 120,108.45/x
  3. Step 3: Cross multiply
    222,082.97x = 306,475.44 × 120,108.45
  4. Step 4: Simplify right side
    222,082.97x = 36,810,290,061.47
  5. Step 5: Solve for x
    x = 36,810,290,061.47/222,082.97
  6. Step 6: Final answer
    x = 165,750.17

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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.