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Finding the Fourth Proportional to 127,768.32, 191,653.68 and 44,662.56

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Solution

The fourth proportional to 127,768.32, 191,653.68 and 44,662.56 is: 66,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,768.32 : 191,653.68 = 44,662.56 : x
  2. Step 2: Convert to fraction form
    127,768.32/191,653.68 = 44,662.56/x
  3. Step 3: Cross multiply
    127,768.32x = 191,653.68 × 44,662.56
  4. Step 4: Simplify right side
    127,768.32x = 8,559,743,982.22
  5. Step 5: Solve for x
    x = 8,559,743,982.22/127,768.32
  6. Step 6: Final answer
    x = 66,994.26

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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.