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Finding the Fourth Proportional to 205,106.90, 307,658.94 and 110,381.64

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Solution

The fourth proportional to 205,106.90, 307,658.94 and 110,381.64 is: 165,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,106.90 : 307,658.94 = 110,381.64 : x
  2. Step 2: Convert to fraction form
    205,106.90/307,658.94 = 110,381.64/x
  3. Step 3: Cross multiply
    205,106.90x = 307,658.94 × 110,381.64
  4. Step 4: Simplify right side
    205,106.90x = 33,959,898,357.86
  5. Step 5: Solve for x
    x = 33,959,898,357.86/205,106.90
  6. Step 6: Final answer
    x = 165,571.71

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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.