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Finding the Fourth Proportional to 227,638.96, 314,078.92 and 130,837.82

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Solution

The fourth proportional to 227,638.96, 314,078.92 and 130,837.82 is: 180,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,638.96 : 314,078.92 = 130,837.82 : x
  2. Step 2: Convert to fraction form
    227,638.96/314,078.92 = 130,837.82/x
  3. Step 3: Cross multiply
    227,638.96x = 314,078.92 × 130,837.82
  4. Step 4: Simplify right side
    227,638.96x = 41,093,399,303.27
  5. Step 5: Solve for x
    x = 41,093,399,303.27/227,638.96
  6. Step 6: Final answer
    x = 180,520.06

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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.