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Finding the Fourth Proportional to 186,169.72, 256,917.30 and 101,287.24

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Solution

The fourth proportional to 186,169.72, 256,917.30 and 101,287.24 is: 139,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,169.72 : 256,917.30 = 101,287.24 : x
  2. Step 2: Convert to fraction form
    186,169.72/256,917.30 = 101,287.24/x
  3. Step 3: Cross multiply
    186,169.72x = 256,917.30 × 101,287.24
  4. Step 4: Simplify right side
    186,169.72x = 26,022,444,225.25
  5. Step 5: Solve for x
    x = 26,022,444,225.25/186,169.72
  6. Step 6: Final answer
    x = 139,778.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.