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Finding the Fourth Proportional to 223,945.34, 335,585.72 and 164,490.38

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Solution

The fourth proportional to 223,945.34, 335,585.72 and 164,490.38 is: 246,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,945.34 : 335,585.72 = 164,490.38 : x
  2. Step 2: Convert to fraction form
    223,945.34/335,585.72 = 164,490.38/x
  3. Step 3: Cross multiply
    223,945.34x = 335,585.72 × 164,490.38
  4. Step 4: Simplify right side
    223,945.34x = 55,200,622,605.37
  5. Step 5: Solve for x
    x = 55,200,622,605.37/223,945.34
  6. Step 6: Final answer
    x = 246,491.50

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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.