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Finding the Fourth Proportional to 142,028.94, 195,999.42 and 78,366.42

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Solution

The fourth proportional to 142,028.94, 195,999.42 and 78,366.42 is: 108,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,028.94 : 195,999.42 = 78,366.42 : x
  2. Step 2: Convert to fraction form
    142,028.94/195,999.42 = 78,366.42/x
  3. Step 3: Cross multiply
    142,028.94x = 195,999.42 × 78,366.42
  4. Step 4: Simplify right side
    142,028.94x = 15,359,772,867.48
  5. Step 5: Solve for x
    x = 15,359,772,867.48/142,028.94
  6. Step 6: Final answer
    x = 108,145.37

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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.