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Finding the Fourth Proportional to 150,840.96, 208,164.24 and 82,864.68

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Solution

The fourth proportional to 150,840.96, 208,164.24 and 82,864.68 is: 114,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,840.96 : 208,164.24 = 82,864.68 : x
  2. Step 2: Convert to fraction form
    150,840.96/208,164.24 = 82,864.68/x
  3. Step 3: Cross multiply
    150,840.96x = 208,164.24 × 82,864.68
  4. Step 4: Simplify right side
    150,840.96x = 17,249,463,135.04
  5. Step 5: Solve for x
    x = 17,249,463,135.04/150,840.96
  6. Step 6: Final answer
    x = 114,355.30

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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.