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Finding the Fourth Proportional to 140,699.94, 211,027.11 and 51,995.22

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Solution

The fourth proportional to 140,699.94, 211,027.11 and 51,995.22 is: 77,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,699.94 : 211,027.11 = 51,995.22 : x
  2. Step 2: Convert to fraction form
    140,699.94/211,027.11 = 51,995.22/x
  3. Step 3: Cross multiply
    140,699.94x = 211,027.11 × 51,995.22
  4. Step 4: Simplify right side
    140,699.94x = 10,972,401,010.41
  5. Step 5: Solve for x
    x = 10,972,401,010.41/140,699.94
  6. Step 6: Final answer
    x = 77,984.40

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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.