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Finding the Fourth Proportional to 222,486.16, 306,784.92 and 141,785.92

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Solution

The fourth proportional to 222,486.16, 306,784.92 and 141,785.92 is: 195,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,486.16 : 306,784.92 = 141,785.92 : x
  2. Step 2: Convert to fraction form
    222,486.16/306,784.92 = 141,785.92/x
  3. Step 3: Cross multiply
    222,486.16x = 306,784.92 × 141,785.92
  4. Step 4: Simplify right side
    222,486.16x = 43,497,782,124.33
  5. Step 5: Solve for x
    x = 43,497,782,124.33/222,486.16
  6. Step 6: Final answer
    x = 195,507.81

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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.