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Finding the Fourth Proportional to 168,142.24, 232,036.08 and 92,692

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Solution

The fourth proportional to 168,142.24, 232,036.08 and 92,692 is: 127,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,142.24 : 232,036.08 = 92,692 : x
  2. Step 2: Convert to fraction form
    168,142.24/232,036.08 = 92,692/x
  3. Step 3: Cross multiply
    168,142.24x = 232,036.08 × 92,692
  4. Step 4: Simplify right side
    168,142.24x = 21,507,888,327.36
  5. Step 5: Solve for x
    x = 21,507,888,327.36/168,142.24
  6. Step 6: Final answer
    x = 127,914.84

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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.