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Finding the Fourth Proportional to 219,739.84, 329,607.32 and 166,757.28

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Solution

The fourth proportional to 219,739.84, 329,607.32 and 166,757.28 is: 250,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,739.84 : 329,607.32 = 166,757.28 : x
  2. Step 2: Convert to fraction form
    219,739.84/329,607.32 = 166,757.28/x
  3. Step 3: Cross multiply
    219,739.84x = 329,607.32 × 166,757.28
  4. Step 4: Simplify right side
    219,739.84x = 54,964,420,151.29
  5. Step 5: Solve for x
    x = 54,964,420,151.29/219,739.84
  6. Step 6: Final answer
    x = 250,134.07

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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.