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Finding the Fourth Proportional to 189,456, 261,419.52 and 108,868

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Solution

The fourth proportional to 189,456, 261,419.52 and 108,868 is: 150,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,456 : 261,419.52 = 108,868 : x
  2. Step 2: Convert to fraction form
    189,456/261,419.52 = 108,868/x
  3. Step 3: Cross multiply
    189,456x = 261,419.52 × 108,868
  4. Step 4: Simplify right side
    189,456x = 28,460,220,303.36
  5. Step 5: Solve for x
    x = 28,460,220,303.36/189,456
  6. Step 6: Final answer
    x = 150,220.74

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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.