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Finding the Fourth Proportional to 228,826.31, 315,788.21 and 138,164.22

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Solution

The fourth proportional to 228,826.31, 315,788.21 and 138,164.22 is: 190,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,826.31 : 315,788.21 = 138,164.22 : x
  2. Step 2: Convert to fraction form
    228,826.31/315,788.21 = 138,164.22/x
  3. Step 3: Cross multiply
    228,826.31x = 315,788.21 × 138,164.22
  4. Step 4: Simplify right side
    228,826.31x = 43,630,631,029.03
  5. Step 5: Solve for x
    x = 43,630,631,029.03/228,826.31
  6. Step 6: Final answer
    x = 190,671.40

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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.