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Finding the Fourth Proportional to 258,722.98, 356,732.26 and 177,090.50

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Solution

The fourth proportional to 258,722.98, 356,732.26 and 177,090.50 is: 244,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,722.98 : 356,732.26 = 177,090.50 : x
  2. Step 2: Convert to fraction form
    258,722.98/356,732.26 = 177,090.50/x
  3. Step 3: Cross multiply
    258,722.98x = 356,732.26 × 177,090.50
  4. Step 4: Simplify right side
    258,722.98x = 63,173,894,738.63
  5. Step 5: Solve for x
    x = 63,173,894,738.63/258,722.98
  6. Step 6: Final answer
    x = 244,175.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.