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Finding the Fourth Proportional to 122,993.40, 184,490.10 and 107,441.40

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Solution

The fourth proportional to 122,993.40, 184,490.10 and 107,441.40 is: 161,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,993.40 : 184,490.10 = 107,441.40 : x
  2. Step 2: Convert to fraction form
    122,993.40/184,490.10 = 107,441.40/x
  3. Step 3: Cross multiply
    122,993.40x = 184,490.10 × 107,441.40
  4. Step 4: Simplify right side
    122,993.40x = 19,821,874,630.14
  5. Step 5: Solve for x
    x = 19,821,874,630.14/122,993.40
  6. Step 6: Final answer
    x = 161,162.10

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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.