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Finding the Fourth Proportional to 222,458.07, 306,746.15 and 141,757.77

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Solution

The fourth proportional to 222,458.07, 306,746.15 and 141,757.77 is: 195,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,458.07 : 306,746.15 = 141,757.77 : x
  2. Step 2: Convert to fraction form
    222,458.07/306,746.15 = 141,757.77/x
  3. Step 3: Cross multiply
    222,458.07x = 306,746.15 × 141,757.77
  4. Step 4: Simplify right side
    222,458.07x = 43,483,649,471.30
  5. Step 5: Solve for x
    x = 43,483,649,471.30/222,458.07
  6. Step 6: Final answer
    x = 195,468.97

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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.