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Finding the Fourth Proportional to 271,395.79, 407,094.73 and 113,513.49

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Solution

The fourth proportional to 271,395.79, 407,094.73 and 113,513.49 is: 170,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,395.79 : 407,094.73 = 113,513.49 : x
  2. Step 2: Convert to fraction form
    271,395.79/407,094.73 = 113,513.49/x
  3. Step 3: Cross multiply
    271,395.79x = 407,094.73 × 113,513.49
  4. Step 4: Simplify right side
    271,395.79x = 46,210,743,279.12
  5. Step 5: Solve for x
    x = 46,210,743,279.12/271,395.79
  6. Step 6: Final answer
    x = 170,270.67

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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.