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Finding the Fourth Proportional to 150,811.13, 208,119.32 and 82,828.12

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Solution

The fourth proportional to 150,811.13, 208,119.32 and 82,828.12 is: 114,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,811.13 : 208,119.32 = 82,828.12 : x
  2. Step 2: Convert to fraction form
    150,811.13/208,119.32 = 82,828.12/x
  3. Step 3: Cross multiply
    150,811.13x = 208,119.32 × 82,828.12
  4. Step 4: Simplify right side
    150,811.13x = 17,238,132,011.28
  5. Step 5: Solve for x
    x = 17,238,132,011.28/150,811.13
  6. Step 6: Final answer
    x = 114,302.78

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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.