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Finding the Fourth Proportional to 226,009.17, 339,232.50 and 166,221.45

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Solution

The fourth proportional to 226,009.17, 339,232.50 and 166,221.45 is: 249,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,009.17 : 339,232.50 = 166,221.45 : x
  2. Step 2: Convert to fraction form
    226,009.17/339,232.50 = 166,221.45/x
  3. Step 3: Cross multiply
    226,009.17x = 339,232.50 × 166,221.45
  4. Step 4: Simplify right side
    226,009.17x = 56,387,718,037.13
  5. Step 5: Solve for x
    x = 56,387,718,037.13/226,009.17
  6. Step 6: Final answer
    x = 249,493.05

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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.