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Finding the Fourth Proportional to 206,356.86, 309,120.57 and 107,653.50

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Solution

The fourth proportional to 206,356.86, 309,120.57 and 107,653.50 is: 161,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,356.86 : 309,120.57 = 107,653.50 : x
  2. Step 2: Convert to fraction form
    206,356.86/309,120.57 = 107,653.50/x
  3. Step 3: Cross multiply
    206,356.86x = 309,120.57 × 107,653.50
  4. Step 4: Simplify right side
    206,356.86x = 33,277,911,282.50
  5. Step 5: Solve for x
    x = 33,277,911,282.50/206,356.86
  6. Step 6: Final answer
    x = 161,263.90

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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.