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Finding the Fourth Proportional to 271,693.72, 407,562.42 and 103,294.60

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Solution

The fourth proportional to 271,693.72, 407,562.42 and 103,294.60 is: 154,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,693.72 : 407,562.42 = 103,294.60 : x
  2. Step 2: Convert to fraction form
    271,693.72/407,562.42 = 103,294.60/x
  3. Step 3: Cross multiply
    271,693.72x = 407,562.42 × 103,294.60
  4. Step 4: Simplify right side
    271,693.72x = 42,098,997,148.93
  5. Step 5: Solve for x
    x = 42,098,997,148.93/271,693.72
  6. Step 6: Final answer
    x = 154,950.20

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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.