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Finding the Fourth Proportional to 196,415.34, 294,752.13 and 107,731

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Solution

The fourth proportional to 196,415.34, 294,752.13 and 107,731 is: 161,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,415.34 : 294,752.13 = 107,731 : x
  2. Step 2: Convert to fraction form
    196,415.34/294,752.13 = 107,731/x
  3. Step 3: Cross multiply
    196,415.34x = 294,752.13 × 107,731
  4. Step 4: Simplify right side
    196,415.34x = 31,753,941,717.03
  5. Step 5: Solve for x
    x = 31,753,941,717.03/196,415.34
  6. Step 6: Final answer
    x = 161,667.32

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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.