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Finding the Fourth Proportional to 186,564.58, 257,198.23 and 157,768.54

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Solution

The fourth proportional to 186,564.58, 257,198.23 and 157,768.54 is: 217,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,564.58 : 257,198.23 = 157,768.54 : x
  2. Step 2: Convert to fraction form
    186,564.58/257,198.23 = 157,768.54/x
  3. Step 3: Cross multiply
    186,564.58x = 257,198.23 × 157,768.54
  4. Step 4: Simplify right side
    186,564.58x = 40,577,789,237.68
  5. Step 5: Solve for x
    x = 40,577,789,237.68/186,564.58
  6. Step 6: Final answer
    x = 217,499.96

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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.