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Finding the Fourth Proportional to 219,816.40, 329,724.60 and 164,047.90

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Solution

The fourth proportional to 219,816.40, 329,724.60 and 164,047.90 is: 246,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,816.40 : 329,724.60 = 164,047.90 : x
  2. Step 2: Convert to fraction form
    219,816.40/329,724.60 = 164,047.90/x
  3. Step 3: Cross multiply
    219,816.40x = 329,724.60 × 164,047.90
  4. Step 4: Simplify right side
    219,816.40x = 54,090,628,208.34
  5. Step 5: Solve for x
    x = 54,090,628,208.34/219,816.40
  6. Step 6: Final answer
    x = 246,071.85

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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.