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Finding the Fourth Proportional to 102,993.52, 142,144.48 and 57,688.80

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Solution

The fourth proportional to 102,993.52, 142,144.48 and 57,688.80 is: 79,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,993.52 : 142,144.48 = 57,688.80 : x
  2. Step 2: Convert to fraction form
    102,993.52/142,144.48 = 57,688.80/x
  3. Step 3: Cross multiply
    102,993.52x = 142,144.48 × 57,688.80
  4. Step 4: Simplify right side
    102,993.52x = 8,200,144,477.82
  5. Step 5: Solve for x
    x = 8,200,144,477.82/102,993.52
  6. Step 6: Final answer
    x = 79,618.06

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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.