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Finding the Fourth Proportional to 142,362.30, 196,451.53 and 78,696.30

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Solution

The fourth proportional to 142,362.30, 196,451.53 and 78,696.30 is: 108,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,362.30 : 196,451.53 = 78,696.30 : x
  2. Step 2: Convert to fraction form
    142,362.30/196,451.53 = 78,696.30/x
  3. Step 3: Cross multiply
    142,362.30x = 196,451.53 × 78,696.30
  4. Step 4: Simplify right side
    142,362.30x = 15,460,008,540.34
  5. Step 5: Solve for x
    x = 15,460,008,540.34/142,362.30
  6. Step 6: Final answer
    x = 108,596.23

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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.