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Finding the Fourth Proportional to 182,879.63, 274,436.08 and 77,698.60

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Solution

The fourth proportional to 182,879.63, 274,436.08 and 77,698.60 is: 116,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,879.63 : 274,436.08 = 77,698.60 : x
  2. Step 2: Convert to fraction form
    182,879.63/274,436.08 = 77,698.60/x
  3. Step 3: Cross multiply
    182,879.63x = 274,436.08 × 77,698.60
  4. Step 4: Simplify right side
    182,879.63x = 21,323,299,205.49
  5. Step 5: Solve for x
    x = 21,323,299,205.49/182,879.63
  6. Step 6: Final answer
    x = 116,597.45

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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.