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Finding the Fourth Proportional to 302,914.62, 454,371.87 and 81,298.62

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Solution

The fourth proportional to 302,914.62, 454,371.87 and 81,298.62 is: 121,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,914.62 : 454,371.87 = 81,298.62 : x
  2. Step 2: Convert to fraction form
    302,914.62/454,371.87 = 81,298.62/x
  3. Step 3: Cross multiply
    302,914.62x = 454,371.87 × 81,298.62
  4. Step 4: Simplify right side
    302,914.62x = 36,939,805,997.82
  5. Step 5: Solve for x
    x = 36,939,805,997.82/302,914.62
  6. Step 6: Final answer
    x = 121,947.91

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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.