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Finding the Fourth Proportional to 141,858.56, 195,762.40 and 78,202.28

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Solution

The fourth proportional to 141,858.56, 195,762.40 and 78,202.28 is: 107,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,858.56 : 195,762.40 = 78,202.28 : x
  2. Step 2: Convert to fraction form
    141,858.56/195,762.40 = 78,202.28/x
  3. Step 3: Cross multiply
    141,858.56x = 195,762.40 × 78,202.28
  4. Step 4: Simplify right side
    141,858.56x = 15,309,066,018.27
  5. Step 5: Solve for x
    x = 15,309,066,018.27/141,858.56
  6. Step 6: Final answer
    x = 107,917.82

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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.