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Finding the Fourth Proportional to 186,581.47, 257,481.82 and 101,698.54

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Solution

The fourth proportional to 186,581.47, 257,481.82 and 101,698.54 is: 140,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,581.47 : 257,481.82 = 101,698.54 : x
  2. Step 2: Convert to fraction form
    186,581.47/257,481.82 = 101,698.54/x
  3. Step 3: Cross multiply
    186,581.47x = 257,481.82 × 101,698.54
  4. Step 4: Simplify right side
    186,581.47x = 26,185,525,170.54
  5. Step 5: Solve for x
    x = 26,185,525,170.54/186,581.47
  6. Step 6: Final answer
    x = 140,343.65

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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.