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Finding the Fourth Proportional to 271,693.22, 407,561.67 and 103,294.10

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Solution

The fourth proportional to 271,693.22, 407,561.67 and 103,294.10 is: 154,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,693.22 : 407,561.67 = 103,294.10 : x
  2. Step 2: Convert to fraction form
    271,693.22/407,561.67 = 103,294.10/x
  3. Step 3: Cross multiply
    271,693.22x = 407,561.67 × 103,294.10
  4. Step 4: Simplify right side
    271,693.22x = 42,098,715,897.15
  5. Step 5: Solve for x
    x = 42,098,715,897.15/271,693.22
  6. Step 6: Final answer
    x = 154,949.45

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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.