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Finding the Fourth Proportional to 173,209.10, 259,570.65 and 137,731.10

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Solution

The fourth proportional to 173,209.10, 259,570.65 and 137,731.10 is: 206,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,209.10 : 259,570.65 = 137,731.10 : x
  2. Step 2: Convert to fraction form
    173,209.10/259,570.65 = 137,731.10/x
  3. Step 3: Cross multiply
    173,209.10x = 259,570.65 × 137,731.10
  4. Step 4: Simplify right side
    173,209.10x = 35,750,951,152.22
  5. Step 5: Solve for x
    x = 35,750,951,152.22/173,209.10
  6. Step 6: Final answer
    x = 206,403.42

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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.