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Finding the Fourth Proportional to 257,698.50, 386,809.83 and 177,742.02

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Solution

The fourth proportional to 257,698.50, 386,809.83 and 177,742.02 is: 266,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,698.50 : 386,809.83 = 177,742.02 : x
  2. Step 2: Convert to fraction form
    257,698.50/386,809.83 = 177,742.02/x
  3. Step 3: Cross multiply
    257,698.50x = 386,809.83 × 177,742.02
  4. Step 4: Simplify right side
    257,698.50x = 68,752,360,540.06
  5. Step 5: Solve for x
    x = 68,752,360,540.06/257,698.50
  6. Step 6: Final answer
    x = 266,793.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.