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Finding the Fourth Proportional to 196,012.96, 293,786.16 and 112,732

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Solution

The fourth proportional to 196,012.96, 293,786.16 and 112,732 is: 168,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,012.96 : 293,786.16 = 112,732 : x
  2. Step 2: Convert to fraction form
    196,012.96/293,786.16 = 112,732/x
  3. Step 3: Cross multiply
    196,012.96x = 293,786.16 × 112,732
  4. Step 4: Simplify right side
    196,012.96x = 33,119,101,389.12
  5. Step 5: Solve for x
    x = 33,119,101,389.12/196,012.96
  6. Step 6: Final answer
    x = 168,963.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.