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Finding the Fourth Proportional to 189,243.87, 261,154.42 and 103,202.56

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Solution

The fourth proportional to 189,243.87, 261,154.42 and 103,202.56 is: 142,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,243.87 : 261,154.42 = 103,202.56 : x
  2. Step 2: Convert to fraction form
    189,243.87/261,154.42 = 103,202.56/x
  3. Step 3: Cross multiply
    189,243.87x = 261,154.42 × 103,202.56
  4. Step 4: Simplify right side
    189,243.87x = 26,951,804,699.32
  5. Step 5: Solve for x
    x = 26,951,804,699.32/189,243.87
  6. Step 6: Final answer
    x = 142,418.38

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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.