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Finding the Fourth Proportional to 271,806.16, 375,109.85 and 150,947.41

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Solution

The fourth proportional to 271,806.16, 375,109.85 and 150,947.41 is: 208,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806.16 : 375,109.85 = 150,947.41 : x
  2. Step 2: Convert to fraction form
    271,806.16/375,109.85 = 150,947.41/x
  3. Step 3: Cross multiply
    271,806.16x = 375,109.85 × 150,947.41
  4. Step 4: Simplify right side
    271,806.16x = 56,621,860,322.99
  5. Step 5: Solve for x
    x = 56,621,860,322.99/271,806.16
  6. Step 6: Final answer
    x = 208,317.06

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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.