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Finding the Fourth Proportional to 182,756.48, 274,065.60 and 71,888

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Solution

The fourth proportional to 182,756.48, 274,065.60 and 71,888 is: 107,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,756.48 : 274,065.60 = 71,888 : x
  2. Step 2: Convert to fraction form
    182,756.48/274,065.60 = 71,888/x
  3. Step 3: Cross multiply
    182,756.48x = 274,065.60 × 71,888
  4. Step 4: Simplify right side
    182,756.48x = 19,702,027,852.80
  5. Step 5: Solve for x
    x = 19,702,027,852.80/182,756.48
  6. Step 6: Final answer
    x = 107,804.81

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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.