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Finding the Fourth Proportional to 102,014.48, 141,007.56 and 73,917.20

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Solution

The fourth proportional to 102,014.48, 141,007.56 and 73,917.20 is: 102,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014.48 : 141,007.56 = 73,917.20 : x
  2. Step 2: Convert to fraction form
    102,014.48/141,007.56 = 73,917.20/x
  3. Step 3: Cross multiply
    102,014.48x = 141,007.56 × 73,917.20
  4. Step 4: Simplify right side
    102,014.48x = 10,422,884,014.03
  5. Step 5: Solve for x
    x = 10,422,884,014.03/102,014.48
  6. Step 6: Final answer
    x = 102,170.63

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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.