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Finding the Fourth Proportional to 222,270.87, 306,731.43 and 120,294.12

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Solution

The fourth proportional to 222,270.87, 306,731.43 and 120,294.12 is: 166,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,270.87 : 306,731.43 = 120,294.12 : x
  2. Step 2: Convert to fraction form
    222,270.87/306,731.43 = 120,294.12/x
  3. Step 3: Cross multiply
    222,270.87x = 306,731.43 × 120,294.12
  4. Step 4: Simplify right side
    222,270.87x = 36,897,987,448.19
  5. Step 5: Solve for x
    x = 36,897,987,448.19/222,270.87
  6. Step 6: Final answer
    x = 166,004.60

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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.