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Finding the Fourth Proportional to 186,512.83, 257,388.03 and 101,629.89

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Solution

The fourth proportional to 186,512.83, 257,388.03 and 101,629.89 is: 140,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,512.83 : 257,388.03 = 101,629.89 : x
  2. Step 2: Convert to fraction form
    186,512.83/257,388.03 = 101,629.89/x
  3. Step 3: Cross multiply
    186,512.83x = 257,388.03 × 101,629.89
  4. Step 4: Simplify right side
    186,512.83x = 26,158,317,176.22
  5. Step 5: Solve for x
    x = 26,158,317,176.22/186,512.83
  6. Step 6: Final answer
    x = 140,249.43

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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.