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Finding the Fourth Proportional to 243,300, 335,902.23 and 166,944.54

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Solution

The fourth proportional to 243,300, 335,902.23 and 166,944.54 is: 230,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,300 : 335,902.23 = 166,944.54 : x
  2. Step 2: Convert to fraction form
    243,300/335,902.23 = 166,944.54/x
  3. Step 3: Cross multiply
    243,300x = 335,902.23 × 166,944.54
  4. Step 4: Simplify right side
    243,300x = 56,077,043,272.32
  5. Step 5: Solve for x
    x = 56,077,043,272.32/243,300
  6. Step 6: Final answer
    x = 230,485.18

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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.