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Finding the Fourth Proportional to 243,303, 335,906.38 and 166,947.54

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Solution

The fourth proportional to 243,303, 335,906.38 and 166,947.54 is: 230,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,303 : 335,906.38 = 166,947.54 : x
  2. Step 2: Convert to fraction form
    243,303/335,906.38 = 166,947.54/x
  3. Step 3: Cross multiply
    243,303x = 335,906.38 × 166,947.54
  4. Step 4: Simplify right side
    243,303x = 56,078,743,811.31
  5. Step 5: Solve for x
    x = 56,078,743,811.31/243,303
  6. Step 6: Final answer
    x = 230,489.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.