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Finding the Fourth Proportional to 105,738.99, 145,924.02 and 57,994.08

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Solution

The fourth proportional to 105,738.99, 145,924.02 and 57,994.08 is: 80,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,738.99 : 145,924.02 = 57,994.08 : x
  2. Step 2: Convert to fraction form
    105,738.99/145,924.02 = 57,994.08/x
  3. Step 3: Cross multiply
    105,738.99x = 145,924.02 × 57,994.08
  4. Step 4: Simplify right side
    105,738.99x = 8,462,729,289.80
  5. Step 5: Solve for x
    x = 8,462,729,289.80/105,738.99
  6. Step 6: Final answer
    x = 80,034.14

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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.