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Finding the Fourth Proportional to 150,690, 226,029.54 and 45,506.28

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Solution

The fourth proportional to 150,690, 226,029.54 and 45,506.28 is: 68,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,690 : 226,029.54 = 45,506.28 : x
  2. Step 2: Convert to fraction form
    150,690/226,029.54 = 45,506.28/x
  3. Step 3: Cross multiply
    150,690x = 226,029.54 × 45,506.28
  4. Step 4: Simplify right side
    150,690x = 10,285,763,535.51
  5. Step 5: Solve for x
    x = 10,285,763,535.51/150,690
  6. Step 6: Final answer
    x = 68,257.77

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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.