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Finding the Fourth Proportional to 186,100.66, 256,821.60 and 101,217.97

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Solution

The fourth proportional to 186,100.66, 256,821.60 and 101,217.97 is: 139,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,100.66 : 256,821.60 = 101,217.97 : x
  2. Step 2: Convert to fraction form
    186,100.66/256,821.60 = 101,217.97/x
  3. Step 3: Cross multiply
    186,100.66x = 256,821.60 × 101,217.97
  4. Step 4: Simplify right side
    186,100.66x = 25,994,961,004.15
  5. Step 5: Solve for x
    x = 25,994,961,004.15/186,100.66
  6. Step 6: Final answer
    x = 139,682.26

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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.