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Finding the Fourth Proportional to 301,042.82, 451,630.78 and 101,356.62

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Solution

The fourth proportional to 301,042.82, 451,630.78 and 101,356.62 is: 152,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,042.82 : 451,630.78 = 101,356.62 : x
  2. Step 2: Convert to fraction form
    301,042.82/451,630.78 = 101,356.62/x
  3. Step 3: Cross multiply
    301,042.82x = 451,630.78 × 101,356.62
  4. Step 4: Simplify right side
    301,042.82x = 45,775,769,348.76
  5. Step 5: Solve for x
    x = 45,775,769,348.76/301,042.82
  6. Step 6: Final answer
    x = 152,057.34

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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.