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Finding the Fourth Proportional to 271,972.96, 375,314.56 and 149,465.76

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Solution

The fourth proportional to 271,972.96, 375,314.56 and 149,465.76 is: 206,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,972.96 : 375,314.56 = 149,465.76 : x
  2. Step 2: Convert to fraction form
    271,972.96/375,314.56 = 149,465.76/x
  3. Step 3: Cross multiply
    271,972.96x = 375,314.56 × 149,465.76
  4. Step 4: Simplify right side
    271,972.96x = 56,096,675,949.47
  5. Step 5: Solve for x
    x = 56,096,675,949.47/271,972.96
  6. Step 6: Final answer
    x = 206,258.28

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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.