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Finding the Fourth Proportional to 159,344.12, 238,960.32 and 46,994.48

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Solution

The fourth proportional to 159,344.12, 238,960.32 and 46,994.48 is: 70,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,344.12 : 238,960.32 = 46,994.48 : x
  2. Step 2: Convert to fraction form
    159,344.12/238,960.32 = 46,994.48/x
  3. Step 3: Cross multiply
    159,344.12x = 238,960.32 × 46,994.48
  4. Step 4: Simplify right side
    159,344.12x = 11,229,815,979.03
  5. Step 5: Solve for x
    x = 11,229,815,979.03/159,344.12
  6. Step 6: Final answer
    x = 70,475.25

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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.