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Finding the Fourth Proportional to 102,415.14, 141,333.48 and 57,096

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Solution

The fourth proportional to 102,415.14, 141,333.48 and 57,096 is: 78,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.14 : 141,333.48 = 57,096 : x
  2. Step 2: Convert to fraction form
    102,415.14/141,333.48 = 57,096/x
  3. Step 3: Cross multiply
    102,415.14x = 141,333.48 × 57,096
  4. Step 4: Simplify right side
    102,415.14x = 8,069,576,374.08
  5. Step 5: Solve for x
    x = 8,069,576,374.08/102,415.14
  6. Step 6: Final answer
    x = 78,792.81

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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.