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Finding the Fourth Proportional to 182,355, 273,554.31 and 55,978.63

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Solution

The fourth proportional to 182,355, 273,554.31 and 55,978.63 is: 83,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,355 : 273,554.31 = 55,978.63 : x
  2. Step 2: Convert to fraction form
    182,355/273,554.31 = 55,978.63/x
  3. Step 3: Cross multiply
    182,355x = 273,554.31 × 55,978.63
  4. Step 4: Simplify right side
    182,355x = 15,313,195,504.40
  5. Step 5: Solve for x
    x = 15,313,195,504.40/182,355
  6. Step 6: Final answer
    x = 83,974.64

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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.