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Finding the Fourth Proportional to 214,958.56, 322,567.44 and 74,815.60

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Solution

The fourth proportional to 214,958.56, 322,567.44 and 74,815.60 is: 112,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,958.56 : 322,567.44 = 74,815.60 : x
  2. Step 2: Convert to fraction form
    214,958.56/322,567.44 = 74,815.60/x
  3. Step 3: Cross multiply
    214,958.56x = 322,567.44 × 74,815.60
  4. Step 4: Simplify right side
    214,958.56x = 24,133,076,564.06
  5. Step 5: Solve for x
    x = 24,133,076,564.06/214,958.56
  6. Step 6: Final answer
    x = 112,268.51

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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.