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Finding the Fourth Proportional to 142,302.99, 196,378.32 and 78,640.81

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Solution

The fourth proportional to 142,302.99, 196,378.32 and 78,640.81 is: 108,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,302.99 : 196,378.32 = 78,640.81 : x
  2. Step 2: Convert to fraction form
    142,302.99/196,378.32 = 78,640.81/x
  3. Step 3: Cross multiply
    142,302.99x = 196,378.32 × 78,640.81
  4. Step 4: Simplify right side
    142,302.99x = 15,443,350,151.24
  5. Step 5: Solve for x
    x = 15,443,350,151.24/142,302.99
  6. Step 6: Final answer
    x = 108,524.42

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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.