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Finding the Fourth Proportional to 140,361.94, 210,546.75 and 46,864.34

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Solution

The fourth proportional to 140,361.94, 210,546.75 and 46,864.34 is: 70,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,361.94 : 210,546.75 = 46,864.34 : x
  2. Step 2: Convert to fraction form
    140,361.94/210,546.75 = 46,864.34/x
  3. Step 3: Cross multiply
    140,361.94x = 210,546.75 × 46,864.34
  4. Step 4: Simplify right side
    140,361.94x = 9,867,134,477.90
  5. Step 5: Solve for x
    x = 9,867,134,477.90/140,361.94
  6. Step 6: Final answer
    x = 70,297.79

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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.