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Finding the Fourth Proportional to 181,214.40, 271,562.40 and 133,456.80

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Solution

The fourth proportional to 181,214.40, 271,562.40 and 133,456.80 is: 199,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,214.40 : 271,562.40 = 133,456.80 : x
  2. Step 2: Convert to fraction form
    181,214.40/271,562.40 = 133,456.80/x
  3. Step 3: Cross multiply
    181,214.40x = 271,562.40 × 133,456.80
  4. Step 4: Simplify right side
    181,214.40x = 36,241,848,904.32
  5. Step 5: Solve for x
    x = 36,241,848,904.32/181,214.40
  6. Step 6: Final answer
    x = 199,994.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.