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Finding the Fourth Proportional to 141,729.86, 195,762.75 and 102,905.75

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Solution

The fourth proportional to 141,729.86, 195,762.75 and 102,905.75 is: 142,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,729.86 : 195,762.75 = 102,905.75 : x
  2. Step 2: Convert to fraction form
    141,729.86/195,762.75 = 102,905.75/x
  3. Step 3: Cross multiply
    141,729.86x = 195,762.75 × 102,905.75
  4. Step 4: Simplify right side
    141,729.86x = 20,145,112,610.81
  5. Step 5: Solve for x
    x = 20,145,112,610.81/141,729.86
  6. Step 6: Final answer
    x = 142,137.39

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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.