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Finding the Fourth Proportional to 271,821.24, 375,100.54 and 150,970.32

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Solution

The fourth proportional to 271,821.24, 375,100.54 and 150,970.32 is: 208,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,821.24 : 375,100.54 = 150,970.32 : x
  2. Step 2: Convert to fraction form
    271,821.24/375,100.54 = 150,970.32/x
  3. Step 3: Cross multiply
    271,821.24x = 375,100.54 × 150,970.32
  4. Step 4: Simplify right side
    271,821.24x = 56,629,048,555.97
  5. Step 5: Solve for x
    x = 56,629,048,555.97/271,821.24
  6. Step 6: Final answer
    x = 208,331.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.