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Finding the Fourth Proportional to 186,641.44, 280,078.80 and 75,833.44

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Solution

The fourth proportional to 186,641.44, 280,078.80 and 75,833.44 is: 113,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,641.44 : 280,078.80 = 75,833.44 : x
  2. Step 2: Convert to fraction form
    186,641.44/280,078.80 = 75,833.44/x
  3. Step 3: Cross multiply
    186,641.44x = 280,078.80 × 75,833.44
  4. Step 4: Simplify right side
    186,641.44x = 21,239,338,875.07
  5. Step 5: Solve for x
    x = 21,239,338,875.07/186,641.44
  6. Step 6: Final answer
    x = 113,797.55

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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.