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Finding the Fourth Proportional to 227,984.96, 341,983.28 and 108,013.82

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Solution

The fourth proportional to 227,984.96, 341,983.28 and 108,013.82 is: 162,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,984.96 : 341,983.28 = 108,013.82 : x
  2. Step 2: Convert to fraction form
    227,984.96/341,983.28 = 108,013.82/x
  3. Step 3: Cross multiply
    227,984.96x = 341,983.28 × 108,013.82
  4. Step 4: Simplify right side
    227,984.96x = 36,938,920,448.93
  5. Step 5: Solve for x
    x = 36,938,920,448.93/227,984.96
  6. Step 6: Final answer
    x = 162,023.50

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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.