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Finding the Fourth Proportional to 150,864.53, 208,192.68 and 82,886.09

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Solution

The fourth proportional to 150,864.53, 208,192.68 and 82,886.09 is: 114,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,864.53 : 208,192.68 = 82,886.09 : x
  2. Step 2: Convert to fraction form
    150,864.53/208,192.68 = 82,886.09/x
  3. Step 3: Cross multiply
    150,864.53x = 208,192.68 × 82,886.09
  4. Step 4: Simplify right side
    150,864.53x = 17,256,276,170.86
  5. Step 5: Solve for x
    x = 17,256,276,170.86/150,864.53
  6. Step 6: Final answer
    x = 114,382.60

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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.