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Finding the Fourth Proportional to 133,796.96, 184,764.84 and 86,133.20

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Solution

The fourth proportional to 133,796.96, 184,764.84 and 86,133.20 is: 118,944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,796.96 : 184,764.84 = 86,133.20 : x
  2. Step 2: Convert to fraction form
    133,796.96/184,764.84 = 86,133.20/x
  3. Step 3: Cross multiply
    133,796.96x = 184,764.84 × 86,133.20
  4. Step 4: Simplify right side
    133,796.96x = 15,914,386,916.69
  5. Step 5: Solve for x
    x = 15,914,386,916.69/133,796.96
  6. Step 6: Final answer
    x = 118,944.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.