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Finding the Fourth Proportional to 258,093.92, 356,160.40 and 144,921.44

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Solution

The fourth proportional to 258,093.92, 356,160.40 and 144,921.44 is: 199,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,093.92 : 356,160.40 = 144,921.44 : x
  2. Step 2: Convert to fraction form
    258,093.92/356,160.40 = 144,921.44/x
  3. Step 3: Cross multiply
    258,093.92x = 356,160.40 × 144,921.44
  4. Step 4: Simplify right side
    258,093.92x = 51,615,278,038.98
  5. Step 5: Solve for x
    x = 51,615,278,038.98/258,093.92
  6. Step 6: Final answer
    x = 199,986.42

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1.5x scale

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.