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Finding the Fourth Proportional to 182,978.95, 274,257.83 and 70,609.48

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Solution

The fourth proportional to 182,978.95, 274,257.83 and 70,609.48 is: 105,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,978.95 : 274,257.83 = 70,609.48 : x
  2. Step 2: Convert to fraction form
    182,978.95/274,257.83 = 70,609.48/x
  3. Step 3: Cross multiply
    182,978.95x = 274,257.83 × 70,609.48
  4. Step 4: Simplify right side
    182,978.95x = 19,365,202,762.23
  5. Step 5: Solve for x
    x = 19,365,202,762.23/182,978.95
  6. Step 6: Final answer
    x = 105,832.95

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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.