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Finding the Fourth Proportional to 102,132.99, 140,943.51 and 57,420.99

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Solution

The fourth proportional to 102,132.99, 140,943.51 and 57,420.99 is: 79,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,132.99 : 140,943.51 = 57,420.99 : x
  2. Step 2: Convert to fraction form
    102,132.99/140,943.51 = 57,420.99/x
  3. Step 3: Cross multiply
    102,132.99x = 140,943.51 × 57,420.99
  4. Step 4: Simplify right side
    102,132.99x = 8,093,115,878.27
  5. Step 5: Solve for x
    x = 8,093,115,878.27/102,132.99
  6. Step 6: Final answer
    x = 79,240.96

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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.