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Finding the Fourth Proportional to 226,602.41, 339,597.42 and 86,284.49

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Solution

The fourth proportional to 226,602.41, 339,597.42 and 86,284.49 is: 129,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,602.41 : 339,597.42 = 86,284.49 : x
  2. Step 2: Convert to fraction form
    226,602.41/339,597.42 = 86,284.49/x
  3. Step 3: Cross multiply
    226,602.41x = 339,597.42 × 86,284.49
  4. Step 4: Simplify right side
    226,602.41x = 29,301,990,190.02
  5. Step 5: Solve for x
    x = 29,301,990,190.02/226,602.41
  6. Step 6: Final answer
    x = 129,310.14

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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.