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Finding the Fourth Proportional to 145,689.44, 218,481.42 and 50,893.16

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Solution

The fourth proportional to 145,689.44, 218,481.42 and 50,893.16 is: 76,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,689.44 : 218,481.42 = 50,893.16 : x
  2. Step 2: Convert to fraction form
    145,689.44/218,481.42 = 50,893.16/x
  3. Step 3: Cross multiply
    145,689.44x = 218,481.42 × 50,893.16
  4. Step 4: Simplify right side
    145,689.44x = 11,119,209,865.09
  5. Step 5: Solve for x
    x = 11,119,209,865.09/145,689.44
  6. Step 6: Final answer
    x = 76,321.32

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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.