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Finding the Fourth Proportional to 114,284.63, 171,393.84 and 34,319.37

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Solution

The fourth proportional to 114,284.63, 171,393.84 and 34,319.37 is: 51,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,284.63 : 171,393.84 = 34,319.37 : x
  2. Step 2: Convert to fraction form
    114,284.63/171,393.84 = 34,319.37/x
  3. Step 3: Cross multiply
    114,284.63x = 171,393.84 × 34,319.37
  4. Step 4: Simplify right side
    114,284.63x = 5,882,128,610.68
  5. Step 5: Solve for x
    x = 5,882,128,610.68/114,284.63
  6. Step 6: Final answer
    x = 51,469.11

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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.