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Finding the Fourth Proportional to 275,097.61, 412,646.42 and 181,581.49

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Solution

The fourth proportional to 275,097.61, 412,646.42 and 181,581.49 is: 272,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,097.61 : 412,646.42 = 181,581.49 : x
  2. Step 2: Convert to fraction form
    275,097.61/412,646.42 = 181,581.49/x
  3. Step 3: Cross multiply
    275,097.61x = 412,646.42 × 181,581.49
  4. Step 4: Simplify right side
    275,097.61x = 74,928,951,786.77
  5. Step 5: Solve for x
    x = 74,928,951,786.77/275,097.61
  6. Step 6: Final answer
    x = 272,372.24

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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.