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Finding the Fourth Proportional to 302,896.87, 454,399.35 and 100,505.14

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Solution

The fourth proportional to 302,896.87, 454,399.35 and 100,505.14 is: 150,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,896.87 : 454,399.35 = 100,505.14 : x
  2. Step 2: Convert to fraction form
    302,896.87/454,399.35 = 100,505.14/x
  3. Step 3: Cross multiply
    302,896.87x = 454,399.35 × 100,505.14
  4. Step 4: Simplify right side
    302,896.87x = 45,669,470,478.76
  5. Step 5: Solve for x
    x = 45,669,470,478.76/302,896.87
  6. Step 6: Final answer
    x = 150,775.64

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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.