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Finding the Fourth Proportional to 189,268.88, 283,903.31 and 49,027.50

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Solution

The fourth proportional to 189,268.88, 283,903.31 and 49,027.50 is: 73,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,268.88 : 283,903.31 = 49,027.50 : x
  2. Step 2: Convert to fraction form
    189,268.88/283,903.31 = 49,027.50/x
  3. Step 3: Cross multiply
    189,268.88x = 283,903.31 × 49,027.50
  4. Step 4: Simplify right side
    189,268.88x = 13,919,069,653.59
  5. Step 5: Solve for x
    x = 13,919,069,653.59/189,268.88
  6. Step 6: Final answer
    x = 73,541.25

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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.