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Finding the Fourth Proportional to 271,916.36, 407,782.22 and 103,396.04

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Solution

The fourth proportional to 271,916.36, 407,782.22 and 103,396.04 is: 155,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,916.36 : 407,782.22 = 103,396.04 : x
  2. Step 2: Convert to fraction form
    271,916.36/407,782.22 = 103,396.04/x
  3. Step 3: Cross multiply
    271,916.36x = 407,782.22 × 103,396.04
  4. Step 4: Simplify right side
    271,916.36x = 42,163,066,730.41
  5. Step 5: Solve for x
    x = 42,163,066,730.41/271,916.36
  6. Step 6: Final answer
    x = 155,058.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.