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Finding the Fourth Proportional to 271,683.60, 407,719.80 and 114,025.20

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Solution

The fourth proportional to 271,683.60, 407,719.80 and 114,025.20 is: 171,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,683.60 : 407,719.80 = 114,025.20 : x
  2. Step 2: Convert to fraction form
    271,683.60/407,719.80 = 114,025.20/x
  3. Step 3: Cross multiply
    271,683.60x = 407,719.80 × 114,025.20
  4. Step 4: Simplify right side
    271,683.60x = 46,490,331,738.96
  5. Step 5: Solve for x
    x = 46,490,331,738.96/271,683.60
  6. Step 6: Final answer
    x = 171,119.39

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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.