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Finding the Fourth Proportional to 304,091.96, 456,202.33 and 90,876.47

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Solution

The fourth proportional to 304,091.96, 456,202.33 and 90,876.47 is: 136,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,091.96 : 456,202.33 = 90,876.47 : x
  2. Step 2: Convert to fraction form
    304,091.96/456,202.33 = 90,876.47/x
  3. Step 3: Cross multiply
    304,091.96x = 456,202.33 × 90,876.47
  4. Step 4: Simplify right side
    304,091.96x = 41,458,054,847.97
  5. Step 5: Solve for x
    x = 41,458,054,847.97/304,091.96
  6. Step 6: Final answer
    x = 136,333.94

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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.