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Finding the Fourth Proportional to 273,146.06, 376,911.14 and 165,742.22

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Solution

The fourth proportional to 273,146.06, 376,911.14 and 165,742.22 is: 228,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,146.06 : 376,911.14 = 165,742.22 : x
  2. Step 2: Convert to fraction form
    273,146.06/376,911.14 = 165,742.22/x
  3. Step 3: Cross multiply
    273,146.06x = 376,911.14 × 165,742.22
  4. Step 4: Simplify right side
    273,146.06x = 62,470,089,086.33
  5. Step 5: Solve for x
    x = 62,470,089,086.33/273,146.06
  6. Step 6: Final answer
    x = 228,705.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.