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Finding the Fourth Proportional to 271,302.75, 406,954.13 and 105,090.75

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Solution

The fourth proportional to 271,302.75, 406,954.13 and 105,090.75 is: 157,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,302.75 : 406,954.13 = 105,090.75 : x
  2. Step 2: Convert to fraction form
    271,302.75/406,954.13 = 105,090.75/x
  3. Step 3: Cross multiply
    271,302.75x = 406,954.13 × 105,090.75
  4. Step 4: Simplify right side
    271,302.75x = 42,767,114,211.84
  5. Step 5: Solve for x
    x = 42,767,114,211.84/271,302.75
  6. Step 6: Final answer
    x = 157,636.13

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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.