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Finding the Fourth Proportional to 271,688.21, 407,719.17 and 94,195.22

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Solution

The fourth proportional to 271,688.21, 407,719.17 and 94,195.22 is: 141,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,688.21 : 407,719.17 = 94,195.22 : x
  2. Step 2: Convert to fraction form
    271,688.21/407,719.17 = 94,195.22/x
  3. Step 3: Cross multiply
    271,688.21x = 407,719.17 × 94,195.22
  4. Step 4: Simplify right side
    271,688.21x = 38,405,197,171.19
  5. Step 5: Solve for x
    x = 38,405,197,171.19/271,688.21
  6. Step 6: Final answer
    x = 141,357.61

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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.