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Finding the Fourth Proportional to 222,458.76, 306,992.97 and 120,484.22

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Solution

The fourth proportional to 222,458.76, 306,992.97 and 120,484.22 is: 166,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,458.76 : 306,992.97 = 120,484.22 : x
  2. Step 2: Convert to fraction form
    222,458.76/306,992.97 = 120,484.22/x
  3. Step 3: Cross multiply
    222,458.76x = 306,992.97 × 120,484.22
  4. Step 4: Simplify right side
    222,458.76x = 36,987,808,535.93
  5. Step 5: Solve for x
    x = 36,987,808,535.93/222,458.76
  6. Step 6: Final answer
    x = 166,268.16

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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.