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Finding the Fourth Proportional to 320,237.36, 480,346.32 and 133,244

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Solution

The fourth proportional to 320,237.36, 480,346.32 and 133,244 is: 199,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,237.36 : 480,346.32 = 133,244 : x
  2. Step 2: Convert to fraction form
    320,237.36/480,346.32 = 133,244/x
  3. Step 3: Cross multiply
    320,237.36x = 480,346.32 × 133,244
  4. Step 4: Simplify right side
    320,237.36x = 64,003,265,062.08
  5. Step 5: Solve for x
    x = 64,003,265,062.08/320,237.36
  6. Step 6: Final answer
    x = 199,861.96

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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.