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Finding the Fourth Proportional to 243,216.56, 335,694.84 and 142,646.96

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Solution

The fourth proportional to 243,216.56, 335,694.84 and 142,646.96 is: 196,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,216.56 : 335,694.84 = 142,646.96 : x
  2. Step 2: Convert to fraction form
    243,216.56/335,694.84 = 142,646.96/x
  3. Step 3: Cross multiply
    243,216.56x = 335,694.84 × 142,646.96
  4. Step 4: Simplify right side
    243,216.56x = 47,885,848,413.69
  5. Step 5: Solve for x
    x = 47,885,848,413.69/243,216.56
  6. Step 6: Final answer
    x = 196,885.64

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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.