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Finding the Fourth Proportional to 223,428.25, 308,594.24 and 147,845.53

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Solution

The fourth proportional to 223,428.25, 308,594.24 and 147,845.53 is: 204,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,428.25 : 308,594.24 = 147,845.53 : x
  2. Step 2: Convert to fraction form
    223,428.25/308,594.24 = 147,845.53/x
  3. Step 3: Cross multiply
    223,428.25x = 308,594.24 × 147,845.53
  4. Step 4: Simplify right side
    223,428.25x = 45,624,278,967.75
  5. Step 5: Solve for x
    x = 45,624,278,967.75/223,428.25
  6. Step 6: Final answer
    x = 204,201.03

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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.