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Finding the Fourth Proportional to 186,600.97, 280,009.84 and 78,522.36

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Solution

The fourth proportional to 186,600.97, 280,009.84 and 78,522.36 is: 117,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,600.97 : 280,009.84 = 78,522.36 : x
  2. Step 2: Convert to fraction form
    186,600.97/280,009.84 = 78,522.36/x
  3. Step 3: Cross multiply
    186,600.97x = 280,009.84 × 78,522.36
  4. Step 4: Simplify right side
    186,600.97x = 21,987,033,067.41
  5. Step 5: Solve for x
    x = 21,987,033,067.41/186,600.97
  6. Step 6: Final answer
    x = 117,829.15

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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.