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Finding the Fourth Proportional to 271,894, 375,224.25 and 151,044.46

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Solution

The fourth proportional to 271,894, 375,224.25 and 151,044.46 is: 208,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,894 : 375,224.25 = 151,044.46 : x
  2. Step 2: Convert to fraction form
    271,894/375,224.25 = 151,044.46/x
  3. Step 3: Cross multiply
    271,894x = 375,224.25 × 151,044.46
  4. Step 4: Simplify right side
    271,894x = 56,675,544,220.16
  5. Step 5: Solve for x
    x = 56,675,544,220.16/271,894
  6. Step 6: Final answer
    x = 208,447.20

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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.