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Finding the Fourth Proportional to 173,206.10, 259,566.15 and 137,728.10

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Solution

The fourth proportional to 173,206.10, 259,566.15 and 137,728.10 is: 206,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,206.10 : 259,566.15 = 137,728.10 : x
  2. Step 2: Convert to fraction form
    173,206.10/259,566.15 = 137,728.10/x
  3. Step 3: Cross multiply
    173,206.10x = 259,566.15 × 137,728.10
  4. Step 4: Simplify right side
    173,206.10x = 35,749,552,663.82
  5. Step 5: Solve for x
    x = 35,749,552,663.82/173,206.10
  6. Step 6: Final answer
    x = 206,398.92

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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.