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Finding the Fourth Proportional to 186,873.86, 257,796.24 and 122,314.70

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Solution

The fourth proportional to 186,873.86, 257,796.24 and 122,314.70 is: 168,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,873.86 : 257,796.24 = 122,314.70 : x
  2. Step 2: Convert to fraction form
    186,873.86/257,796.24 = 122,314.70/x
  3. Step 3: Cross multiply
    186,873.86x = 257,796.24 × 122,314.70
  4. Step 4: Simplify right side
    186,873.86x = 31,532,269,756.73
  5. Step 5: Solve for x
    x = 31,532,269,756.73/186,873.86
  6. Step 6: Final answer
    x = 168,735.58

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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.