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Finding the Fourth Proportional to 181,208.82, 270,592.89 and 147,994.77

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Solution

The fourth proportional to 181,208.82, 270,592.89 and 147,994.77 is: 220,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,208.82 : 270,592.89 = 147,994.77 : x
  2. Step 2: Convert to fraction form
    181,208.82/270,592.89 = 147,994.77/x
  3. Step 3: Cross multiply
    181,208.82x = 270,592.89 × 147,994.77
  4. Step 4: Simplify right side
    181,208.82x = 40,046,332,519.19
  5. Step 5: Solve for x
    x = 40,046,332,519.19/181,208.82
  6. Step 6: Final answer
    x = 220,995.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.