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Finding the Fourth Proportional to 182,796.48, 274,223.52 and 77,616

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Solution

The fourth proportional to 182,796.48, 274,223.52 and 77,616 is: 116,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,796.48 : 274,223.52 = 77,616 : x
  2. Step 2: Convert to fraction form
    182,796.48/274,223.52 = 77,616/x
  3. Step 3: Cross multiply
    182,796.48x = 274,223.52 × 77,616
  4. Step 4: Simplify right side
    182,796.48x = 21,284,132,728.32
  5. Step 5: Solve for x
    x = 21,284,132,728.32/182,796.48
  6. Step 6: Final answer
    x = 116,436.23

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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.