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Finding the Fourth Proportional to 258,356.50, 356,565.38 and 145,179.26

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Solution

The fourth proportional to 258,356.50, 356,565.38 and 145,179.26 is: 200,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,356.50 : 356,565.38 = 145,179.26 : x
  2. Step 2: Convert to fraction form
    258,356.50/356,565.38 = 145,179.26/x
  3. Step 3: Cross multiply
    258,356.50x = 356,565.38 × 145,179.26
  4. Step 4: Simplify right side
    258,356.50x = 51,765,898,010.02
  5. Step 5: Solve for x
    x = 51,765,898,010.02/258,356.50
  6. Step 6: Final answer
    x = 200,366.15

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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.