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Finding the Fourth Proportional to 186,785.82, 280,180.62 and 53,665.74

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Solution

The fourth proportional to 186,785.82, 280,180.62 and 53,665.74 is: 80,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,785.82 : 280,180.62 = 53,665.74 : x
  2. Step 2: Convert to fraction form
    186,785.82/280,180.62 = 53,665.74/x
  3. Step 3: Cross multiply
    186,785.82x = 280,180.62 × 53,665.74
  4. Step 4: Simplify right side
    186,785.82x = 15,036,100,305.96
  5. Step 5: Solve for x
    x = 15,036,100,305.96/186,785.82
  6. Step 6: Final answer
    x = 80,499.15

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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.