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Finding the Fourth Proportional to 186,858.16, 280,112.20 and 68,497.68

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Solution

The fourth proportional to 186,858.16, 280,112.20 and 68,497.68 is: 102,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,858.16 : 280,112.20 = 68,497.68 : x
  2. Step 2: Convert to fraction form
    186,858.16/280,112.20 = 68,497.68/x
  3. Step 3: Cross multiply
    186,858.16x = 280,112.20 × 68,497.68
  4. Step 4: Simplify right side
    186,858.16x = 19,187,035,839.70
  5. Step 5: Solve for x
    x = 19,187,035,839.70/186,858.16
  6. Step 6: Final answer
    x = 102,682.35

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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.