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Finding the Fourth Proportional to 265,324.96, 397,721.52 and 123,270.16

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Solution

The fourth proportional to 265,324.96, 397,721.52 and 123,270.16 is: 184,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,324.96 : 397,721.52 = 123,270.16 : x
  2. Step 2: Convert to fraction form
    265,324.96/397,721.52 = 123,270.16/x
  3. Step 3: Cross multiply
    265,324.96x = 397,721.52 × 123,270.16
  4. Step 4: Simplify right side
    265,324.96x = 49,027,195,405.84
  5. Step 5: Solve for x
    x = 49,027,195,405.84/265,324.96
  6. Step 6: Final answer
    x = 184,781.69

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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.