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Finding the Fourth Proportional to 142,313.94, 196,365.33 and 85,728.42

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Solution

The fourth proportional to 142,313.94, 196,365.33 and 85,728.42 is: 118,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,313.94 : 196,365.33 = 85,728.42 : x
  2. Step 2: Convert to fraction form
    142,313.94/196,365.33 = 85,728.42/x
  3. Step 3: Cross multiply
    142,313.94x = 196,365.33 × 85,728.42
  4. Step 4: Simplify right side
    142,313.94x = 16,834,089,483.68
  5. Step 5: Solve for x
    x = 16,834,089,483.68/142,313.94
  6. Step 6: Final answer
    x = 118,288.41

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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.