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Finding the Fourth Proportional to 157,969, 236,990.94 and 47,163.88

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Solution

The fourth proportional to 157,969, 236,990.94 and 47,163.88 is: 70,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,969 : 236,990.94 = 47,163.88 : x
  2. Step 2: Convert to fraction form
    157,969/236,990.94 = 47,163.88/x
  3. Step 3: Cross multiply
    157,969x = 236,990.94 × 47,163.88
  4. Step 4: Simplify right side
    157,969x = 11,177,412,255.25
  5. Step 5: Solve for x
    x = 11,177,412,255.25/157,969
  6. Step 6: Final answer
    x = 70,757.00

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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.