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Finding the Fourth Proportional to 133,852.38, 184,685.31 and 80,116.98

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Solution

The fourth proportional to 133,852.38, 184,685.31 and 80,116.98 is: 110,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852.38 : 184,685.31 = 80,116.98 : x
  2. Step 2: Convert to fraction form
    133,852.38/184,685.31 = 80,116.98/x
  3. Step 3: Cross multiply
    133,852.38x = 184,685.31 × 80,116.98
  4. Step 4: Simplify right side
    133,852.38x = 14,796,429,287.56
  5. Step 5: Solve for x
    x = 14,796,429,287.56/133,852.38
  6. Step 6: Final answer
    x = 110,542.89

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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.