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Finding the Fourth Proportional to 102,539.28, 141,504 and 57,214.50

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Solution

The fourth proportional to 102,539.28, 141,504 and 57,214.50 is: 78,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,539.28 : 141,504 = 57,214.50 : x
  2. Step 2: Convert to fraction form
    102,539.28/141,504 = 57,214.50/x
  3. Step 3: Cross multiply
    102,539.28x = 141,504 × 57,214.50
  4. Step 4: Simplify right side
    102,539.28x = 8,096,080,608
  5. Step 5: Solve for x
    x = 8,096,080,608/102,539.28
  6. Step 6: Final answer
    x = 78,955.89

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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.