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Finding the Fourth Proportional to 105,102.56, 145,041 and 57,358.64

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Solution

The fourth proportional to 105,102.56, 145,041 and 57,358.64 is: 79,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,102.56 : 145,041 = 57,358.64 : x
  2. Step 2: Convert to fraction form
    105,102.56/145,041 = 57,358.64/x
  3. Step 3: Cross multiply
    105,102.56x = 145,041 × 57,358.64
  4. Step 4: Simplify right side
    105,102.56x = 8,319,354,504.24
  5. Step 5: Solve for x
    x = 8,319,354,504.24/105,102.56
  6. Step 6: Final answer
    x = 79,154.63

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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.