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Finding the Fourth Proportional to 258,182.74, 356,293.60 and 145,005.50

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Solution

The fourth proportional to 258,182.74, 356,293.60 and 145,005.50 is: 200,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,182.74 : 356,293.60 = 145,005.50 : x
  2. Step 2: Convert to fraction form
    258,182.74/356,293.60 = 145,005.50/x
  3. Step 3: Cross multiply
    258,182.74x = 356,293.60 × 145,005.50
  4. Step 4: Simplify right side
    258,182.74x = 51,664,531,614.80
  5. Step 5: Solve for x
    x = 51,664,531,614.80/258,182.74
  6. Step 6: Final answer
    x = 200,108.39

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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.