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Finding the Fourth Proportional to 271,055.16, 374,118.54 and 180,414.72

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Solution

The fourth proportional to 271,055.16, 374,118.54 and 180,414.72 is: 249,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,055.16 : 374,118.54 = 180,414.72 : x
  2. Step 2: Convert to fraction form
    271,055.16/374,118.54 = 180,414.72/x
  3. Step 3: Cross multiply
    271,055.16x = 374,118.54 × 180,414.72
  4. Step 4: Simplify right side
    271,055.16x = 67,496,491,640.91
  5. Step 5: Solve for x
    x = 67,496,491,640.91/271,055.16
  6. Step 6: Final answer
    x = 249,013.86

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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.