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Finding the Fourth Proportional to 136,461.56, 204,723.50 and 41,705.23

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Solution

The fourth proportional to 136,461.56, 204,723.50 and 41,705.23 is: 62,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,461.56 : 204,723.50 = 41,705.23 : x
  2. Step 2: Convert to fraction form
    136,461.56/204,723.50 = 41,705.23/x
  3. Step 3: Cross multiply
    136,461.56x = 204,723.50 × 41,705.23
  4. Step 4: Simplify right side
    136,461.56x = 8,538,040,552.02
  5. Step 5: Solve for x
    x = 8,538,040,552.02/136,461.56
  6. Step 6: Final answer
    x = 62,567.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.