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Finding the Fourth Proportional to 150,796.84, 208,007.04 and 108,412.24

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Solution

The fourth proportional to 150,796.84, 208,007.04 and 108,412.24 is: 149,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,796.84 : 208,007.04 = 108,412.24 : x
  2. Step 2: Convert to fraction form
    150,796.84/208,007.04 = 108,412.24/x
  3. Step 3: Cross multiply
    150,796.84x = 208,007.04 × 108,412.24
  4. Step 4: Simplify right side
    150,796.84x = 22,550,509,142.17
  5. Step 5: Solve for x
    x = 22,550,509,142.17/150,796.84
  6. Step 6: Final answer
    x = 149,542.32

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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.