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Finding the Fourth Proportional to 271,322.70, 406,754.40 and 102,750.10

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Solution

The fourth proportional to 271,322.70, 406,754.40 and 102,750.10 is: 154,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,322.70 : 406,754.40 = 102,750.10 : x
  2. Step 2: Convert to fraction form
    271,322.70/406,754.40 = 102,750.10/x
  3. Step 3: Cross multiply
    271,322.70x = 406,754.40 × 102,750.10
  4. Step 4: Simplify right side
    271,322.70x = 41,794,055,275.44
  5. Step 5: Solve for x
    x = 41,794,055,275.44/271,322.70
  6. Step 6: Final answer
    x = 154,038.18

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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.