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Finding the Fourth Proportional to 271,806.10, 407,903.55 and 114,147.70

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Solution

The fourth proportional to 271,806.10, 407,903.55 and 114,147.70 is: 171,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806.10 : 407,903.55 = 114,147.70 : x
  2. Step 2: Convert to fraction form
    271,806.10/407,903.55 = 114,147.70/x
  3. Step 3: Cross multiply
    271,806.10x = 407,903.55 × 114,147.70
  4. Step 4: Simplify right side
    271,806.10x = 46,561,252,054.34
  5. Step 5: Solve for x
    x = 46,561,252,054.34/271,806.10
  6. Step 6: Final answer
    x = 171,303.19

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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.