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Finding the Fourth Proportional to 218,461.26, 301,321.27 and 145,827.55

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Solution

The fourth proportional to 218,461.26, 301,321.27 and 145,827.55 is: 201,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,461.26 : 301,321.27 = 145,827.55 : x
  2. Step 2: Convert to fraction form
    218,461.26/301,321.27 = 145,827.55/x
  3. Step 3: Cross multiply
    218,461.26x = 301,321.27 × 145,827.55
  4. Step 4: Simplify right side
    218,461.26x = 43,940,942,566.99
  5. Step 5: Solve for x
    x = 43,940,942,566.99/218,461.26
  6. Step 6: Final answer
    x = 201,138.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.