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Finding the Fourth Proportional to 197,041.92, 271,916.16 and 107,616

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Solution

The fourth proportional to 197,041.92, 271,916.16 and 107,616 is: 148,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,041.92 : 271,916.16 = 107,616 : x
  2. Step 2: Convert to fraction form
    197,041.92/271,916.16 = 107,616/x
  3. Step 3: Cross multiply
    197,041.92x = 271,916.16 × 107,616
  4. Step 4: Simplify right side
    197,041.92x = 29,262,529,474.56
  5. Step 5: Solve for x
    x = 29,262,529,474.56/197,041.92
  6. Step 6: Final answer
    x = 148,509.16

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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.