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Finding the Fourth Proportional to 219,697.36, 329,571.96 and 164,643.28

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Solution

The fourth proportional to 219,697.36, 329,571.96 and 164,643.28 is: 246,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,697.36 : 329,571.96 = 164,643.28 : x
  2. Step 2: Convert to fraction form
    219,697.36/329,571.96 = 164,643.28/x
  3. Step 3: Cross multiply
    219,697.36x = 329,571.96 × 164,643.28
  4. Step 4: Simplify right side
    219,697.36x = 54,261,808,490.43
  5. Step 5: Solve for x
    x = 54,261,808,490.43/219,697.36
  6. Step 6: Final answer
    x = 246,984.34

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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.