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Finding the Fourth Proportional to 186,641.11, 280,077.77 and 75,833.11

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Solution

The fourth proportional to 186,641.11, 280,077.77 and 75,833.11 is: 113,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,641.11 : 280,077.77 = 75,833.11 : x
  2. Step 2: Convert to fraction form
    186,641.11/280,077.77 = 75,833.11/x
  3. Step 3: Cross multiply
    186,641.11x = 280,077.77 × 75,833.11
  4. Step 4: Simplify right side
    186,641.11x = 21,239,166,561.41
  5. Step 5: Solve for x
    x = 21,239,166,561.41/186,641.11
  6. Step 6: Final answer
    x = 113,796.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.