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Finding the Fourth Proportional to 173,175.30, 259,650.97 and 113,831.06

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Solution

The fourth proportional to 173,175.30, 259,650.97 and 113,831.06 is: 170,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,175.30 : 259,650.97 = 113,831.06 : x
  2. Step 2: Convert to fraction form
    173,175.30/259,650.97 = 113,831.06/x
  3. Step 3: Cross multiply
    173,175.30x = 259,650.97 × 113,831.06
  4. Step 4: Simplify right side
    173,175.30x = 29,556,343,562.30
  5. Step 5: Solve for x
    x = 29,556,343,562.30/173,175.30
  6. Step 6: Final answer
    x = 170,672.97

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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.