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Finding the Fourth Proportional to 186,668.29, 280,092.54 and 91,847.05

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Solution

The fourth proportional to 186,668.29, 280,092.54 and 91,847.05 is: 137,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,668.29 : 280,092.54 = 91,847.05 : x
  2. Step 2: Convert to fraction form
    186,668.29/280,092.54 = 91,847.05/x
  3. Step 3: Cross multiply
    186,668.29x = 280,092.54 × 91,847.05
  4. Step 4: Simplify right side
    186,668.29x = 25,725,673,526.01
  5. Step 5: Solve for x
    x = 25,725,673,526.01/186,668.29
  6. Step 6: Final answer
    x = 137,814.91

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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.