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Finding the Fourth Proportional to 196,232.64, 270,901.92 and 115,686.24

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Solution

The fourth proportional to 196,232.64, 270,901.92 and 115,686.24 is: 159,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,232.64 : 270,901.92 = 115,686.24 : x
  2. Step 2: Convert to fraction form
    196,232.64/270,901.92 = 115,686.24/x
  3. Step 3: Cross multiply
    196,232.64x = 270,901.92 × 115,686.24
  4. Step 4: Simplify right side
    196,232.64x = 31,339,624,533.58
  5. Step 5: Solve for x
    x = 31,339,624,533.58/196,232.64
  6. Step 6: Final answer
    x = 159,706.48

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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.