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Finding the Fourth Proportional to 271,821.46, 407,700.48 and 72,157.36

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Solution

The fourth proportional to 271,821.46, 407,700.48 and 72,157.36 is: 108,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,821.46 : 407,700.48 = 72,157.36 : x
  2. Step 2: Convert to fraction form
    271,821.46/407,700.48 = 72,157.36/x
  3. Step 3: Cross multiply
    271,821.46x = 407,700.48 × 72,157.36
  4. Step 4: Simplify right side
    271,821.46x = 29,418,590,307.53
  5. Step 5: Solve for x
    x = 29,418,590,307.53/271,821.46
  6. Step 6: Final answer
    x = 108,227.62

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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.