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Finding the Fourth Proportional to 172,633.30, 258,512.55 and 137,641.30

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Solution

The fourth proportional to 172,633.30, 258,512.55 and 137,641.30 is: 206,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,633.30 : 258,512.55 = 137,641.30 : x
  2. Step 2: Convert to fraction form
    172,633.30/258,512.55 = 137,641.30/x
  3. Step 3: Cross multiply
    172,633.30x = 258,512.55 × 137,641.30
  4. Step 4: Simplify right side
    172,633.30x = 35,582,003,448.32
  5. Step 5: Solve for x
    x = 35,582,003,448.32/172,633.30
  6. Step 6: Final answer
    x = 206,113.21

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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.