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Finding the Fourth Proportional to 186,857.57, 280,119.66 and 68,501.27

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Solution

The fourth proportional to 186,857.57, 280,119.66 and 68,501.27 is: 102,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,857.57 : 280,119.66 = 68,501.27 : x
  2. Step 2: Convert to fraction form
    186,857.57/280,119.66 = 68,501.27/x
  3. Step 3: Cross multiply
    186,857.57x = 280,119.66 × 68,501.27
  4. Step 4: Simplify right side
    186,857.57x = 19,188,552,461.97
  5. Step 5: Solve for x
    x = 19,188,552,461.97/186,857.57
  6. Step 6: Final answer
    x = 102,690.80

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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.