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Finding the Fourth Proportional to 271,838, 375,136.44 and 152,606

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Solution

The fourth proportional to 271,838, 375,136.44 and 152,606 is: 210,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,838 : 375,136.44 = 152,606 : x
  2. Step 2: Convert to fraction form
    271,838/375,136.44 = 152,606/x
  3. Step 3: Cross multiply
    271,838x = 375,136.44 × 152,606
  4. Step 4: Simplify right side
    271,838x = 57,248,071,562.64
  5. Step 5: Solve for x
    x = 57,248,071,562.64/271,838
  6. Step 6: Final answer
    x = 210,596.28

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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.