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Finding the Fourth Proportional to 273,248.54, 409,774.34 and 115,489.29

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Solution

The fourth proportional to 273,248.54, 409,774.34 and 115,489.29 is: 173,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,248.54 : 409,774.34 = 115,489.29 : x
  2. Step 2: Convert to fraction form
    273,248.54/409,774.34 = 115,489.29/x
  3. Step 3: Cross multiply
    273,248.54x = 409,774.34 × 115,489.29
  4. Step 4: Simplify right side
    273,248.54x = 47,324,549,412.20
  5. Step 5: Solve for x
    x = 47,324,549,412.20/273,248.54
  6. Step 6: Final answer
    x = 173,192.32

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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.