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Finding the Fourth Proportional to 105,105.74, 145,049.00 and 57,362.16

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Solution

The fourth proportional to 105,105.74, 145,049.00 and 57,362.16 is: 79,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,105.74 : 145,049.00 = 57,362.16 : x
  2. Step 2: Convert to fraction form
    105,105.74/145,049.00 = 57,362.16/x
  3. Step 3: Cross multiply
    105,105.74x = 145,049.00 × 57,362.16
  4. Step 4: Simplify right side
    105,105.74x = 8,320,323,659.03
  5. Step 5: Solve for x
    x = 8,320,323,659.03/105,105.74
  6. Step 6: Final answer
    x = 79,161.46

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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.