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Finding the Fourth Proportional to 223,201.36, 307,903.62 and 142,544.08

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Solution

The fourth proportional to 223,201.36, 307,903.62 and 142,544.08 is: 196,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,201.36 : 307,903.62 = 142,544.08 : x
  2. Step 2: Convert to fraction form
    223,201.36/307,903.62 = 142,544.08/x
  3. Step 3: Cross multiply
    223,201.36x = 307,903.62 × 142,544.08
  4. Step 4: Simplify right side
    223,201.36x = 43,889,838,241.57
  5. Step 5: Solve for x
    x = 43,889,838,241.57/223,201.36
  6. Step 6: Final answer
    x = 196,637.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.