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Finding the Fourth Proportional to 271,566.10, 407,349.15 and 113,778.10

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Solution

The fourth proportional to 271,566.10, 407,349.15 and 113,778.10 is: 170,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,566.10 : 407,349.15 = 113,778.10 : x
  2. Step 2: Convert to fraction form
    271,566.10/407,349.15 = 113,778.10/x
  3. Step 3: Cross multiply
    271,566.10x = 407,349.15 × 113,778.10
  4. Step 4: Simplify right side
    271,566.10x = 46,347,412,323.62
  5. Step 5: Solve for x
    x = 46,347,412,323.62/271,566.10
  6. Step 6: Final answer
    x = 170,667.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.