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Finding the Fourth Proportional to 203,698.68, 280,107.14 and 176,794.32

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Solution

The fourth proportional to 203,698.68, 280,107.14 and 176,794.32 is: 243,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,698.68 : 280,107.14 = 176,794.32 : x
  2. Step 2: Convert to fraction form
    203,698.68/280,107.14 = 176,794.32/x
  3. Step 3: Cross multiply
    203,698.68x = 280,107.14 × 176,794.32
  4. Step 4: Simplify right side
    203,698.68x = 49,521,351,343.44
  5. Step 5: Solve for x
    x = 49,521,351,343.44/203,698.68
  6. Step 6: Final answer
    x = 243,110.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.