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Finding the Fourth Proportional to 271,450.16, 407,175.24 and 147,034.16

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Solution

The fourth proportional to 271,450.16, 407,175.24 and 147,034.16 is: 220,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,450.16 : 407,175.24 = 147,034.16 : x
  2. Step 2: Convert to fraction form
    271,450.16/407,175.24 = 147,034.16/x
  3. Step 3: Cross multiply
    271,450.16x = 407,175.24 × 147,034.16
  4. Step 4: Simplify right side
    271,450.16x = 59,868,669,386.20
  5. Step 5: Solve for x
    x = 59,868,669,386.20/271,450.16
  6. Step 6: Final answer
    x = 220,551.24

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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.