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Finding the Fourth Proportional to 271,826.66, 375,120.44 and 150,986

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Solution

The fourth proportional to 271,826.66, 375,120.44 and 150,986 is: 208,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,826.66 : 375,120.44 = 150,986 : x
  2. Step 2: Convert to fraction form
    271,826.66/375,120.44 = 150,986/x
  3. Step 3: Cross multiply
    271,826.66x = 375,120.44 × 150,986
  4. Step 4: Simplify right side
    271,826.66x = 56,637,934,753.84
  5. Step 5: Solve for x
    x = 56,637,934,753.84/271,826.66
  6. Step 6: Final answer
    x = 208,360.49

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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.