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Finding the Fourth Proportional to 102,505.14, 141,457.86 and 57,186

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Solution

The fourth proportional to 102,505.14, 141,457.86 and 57,186 is: 78,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.14 : 141,457.86 = 57,186 : x
  2. Step 2: Convert to fraction form
    102,505.14/141,457.86 = 57,186/x
  3. Step 3: Cross multiply
    102,505.14x = 141,457.86 × 57,186
  4. Step 4: Simplify right side
    102,505.14x = 8,089,409,181.96
  5. Step 5: Solve for x
    x = 8,089,409,181.96/102,505.14
  6. Step 6: Final answer
    x = 78,917.11

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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.