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Finding the Fourth Proportional to 271,688.46, 407,719.55 and 94,195.47

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Solution

The fourth proportional to 271,688.46, 407,719.55 and 94,195.47 is: 141,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,688.46 : 407,719.55 = 94,195.47 : x
  2. Step 2: Convert to fraction form
    271,688.46/407,719.55 = 94,195.47/x
  3. Step 3: Cross multiply
    271,688.46x = 407,719.55 × 94,195.47
  4. Step 4: Simplify right side
    271,688.46x = 38,405,334,169.46
  5. Step 5: Solve for x
    x = 38,405,334,169.46/271,688.46
  6. Step 6: Final answer
    x = 141,357.99

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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.