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Finding the Fourth Proportional to 102,735.36, 141,739.44 and 75,934.08

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Solution

The fourth proportional to 102,735.36, 141,739.44 and 75,934.08 is: 104,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,735.36 : 141,739.44 = 75,934.08 : x
  2. Step 2: Convert to fraction form
    102,735.36/141,739.44 = 75,934.08/x
  3. Step 3: Cross multiply
    102,735.36x = 141,739.44 × 75,934.08
  4. Step 4: Simplify right side
    102,735.36x = 10,762,853,976.12
  5. Step 5: Solve for x
    x = 10,762,853,976.12/102,735.36
  6. Step 6: Final answer
    x = 104,762.90

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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.