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Finding the Fourth Proportional to 181,829.26, 272,787.90 and 61,885

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Solution

The fourth proportional to 181,829.26, 272,787.90 and 61,885 is: 92,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,829.26 : 272,787.90 = 61,885 : x
  2. Step 2: Convert to fraction form
    181,829.26/272,787.90 = 61,885/x
  3. Step 3: Cross multiply
    181,829.26x = 272,787.90 × 61,885
  4. Step 4: Simplify right side
    181,829.26x = 16,881,479,191.50
  5. Step 5: Solve for x
    x = 16,881,479,191.50/181,829.26
  6. Step 6: Final answer
    x = 92,842.48

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Why These Related Problems?

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