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Finding the Fourth Proportional to 173,842.51, 260,852.76 and 82,761

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Solution

The fourth proportional to 173,842.51, 260,852.76 and 82,761 is: 124,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,842.51 : 260,852.76 = 82,761 : x
  2. Step 2: Convert to fraction form
    173,842.51/260,852.76 = 82,761/x
  3. Step 3: Cross multiply
    173,842.51x = 260,852.76 × 82,761
  4. Step 4: Simplify right side
    173,842.51x = 21,588,435,270.36
  5. Step 5: Solve for x
    x = 21,588,435,270.36/173,842.51
  6. Step 6: Final answer
    x = 124,183.87

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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.