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Finding the Fourth Proportional to 214,389.88, 295,993.56 and 137,944.52

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Solution

The fourth proportional to 214,389.88, 295,993.56 and 137,944.52 is: 190,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,389.88 : 295,993.56 = 137,944.52 : x
  2. Step 2: Convert to fraction form
    214,389.88/295,993.56 = 137,944.52/x
  3. Step 3: Cross multiply
    214,389.88x = 295,993.56 × 137,944.52
  4. Step 4: Simplify right side
    214,389.88x = 40,830,689,557.29
  5. Step 5: Solve for x
    x = 40,830,689,557.29/214,389.88
  6. Step 6: Final answer
    x = 190,450.64

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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.