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Finding the Fourth Proportional to 145,633.07, 200,960.83 and 81,097.43

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Solution

The fourth proportional to 145,633.07, 200,960.83 and 81,097.43 is: 111,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,633.07 : 200,960.83 = 81,097.43 : x
  2. Step 2: Convert to fraction form
    145,633.07/200,960.83 = 81,097.43/x
  3. Step 3: Cross multiply
    145,633.07x = 200,960.83 × 81,097.43
  4. Step 4: Simplify right side
    145,633.07x = 16,297,405,838.86
  5. Step 5: Solve for x
    x = 16,297,405,838.86/145,633.07
  6. Step 6: Final answer
    x = 111,907.32

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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.