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Finding the Fourth Proportional to 186,634.66, 279,951.74 and 46,393.28

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Solution

The fourth proportional to 186,634.66, 279,951.74 and 46,393.28 is: 69,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,634.66 : 279,951.74 = 46,393.28 : x
  2. Step 2: Convert to fraction form
    186,634.66/279,951.74 = 46,393.28/x
  3. Step 3: Cross multiply
    186,634.66x = 279,951.74 × 46,393.28
  4. Step 4: Simplify right side
    186,634.66x = 12,987,879,460.31
  5. Step 5: Solve for x
    x = 12,987,879,460.31/186,634.66
  6. Step 6: Final answer
    x = 69,589.86

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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.