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Finding the Fourth Proportional to 271,692, 374,935.68 and 152,460

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Solution

The fourth proportional to 271,692, 374,935.68 and 152,460 is: 210,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,692 : 374,935.68 = 152,460 : x
  2. Step 2: Convert to fraction form
    271,692/374,935.68 = 152,460/x
  3. Step 3: Cross multiply
    271,692x = 374,935.68 × 152,460
  4. Step 4: Simplify right side
    271,692x = 57,162,693,772.80
  5. Step 5: Solve for x
    x = 57,162,693,772.80/271,692
  6. Step 6: Final answer
    x = 210,395.20

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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.