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Finding the Fourth Proportional to 232,003.44, 320,069.07 and 151,401.96

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Solution

The fourth proportional to 232,003.44, 320,069.07 and 151,401.96 is: 208,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,003.44 : 320,069.07 = 151,401.96 : x
  2. Step 2: Convert to fraction form
    232,003.44/320,069.07 = 151,401.96/x
  3. Step 3: Cross multiply
    232,003.44x = 320,069.07 × 151,401.96
  4. Step 4: Simplify right side
    232,003.44x = 48,459,084,533.38
  5. Step 5: Solve for x
    x = 48,459,084,533.38/232,003.44
  6. Step 6: Final answer
    x = 208,872.27

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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.