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Finding the Fourth Proportional to 172,940.30, 259,410.45 and 137,948.30

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Solution

The fourth proportional to 172,940.30, 259,410.45 and 137,948.30 is: 206,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,940.30 : 259,410.45 = 137,948.30 : x
  2. Step 2: Convert to fraction form
    172,940.30/259,410.45 = 137,948.30/x
  3. Step 3: Cross multiply
    172,940.30x = 259,410.45 × 137,948.30
  4. Step 4: Simplify right side
    172,940.30x = 35,785,230,579.74
  5. Step 5: Solve for x
    x = 35,785,230,579.74/172,940.30
  6. Step 6: Final answer
    x = 206,922.45

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1.5x scale

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.