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Finding the Fourth Proportional to 234,887.82, 324,009.63 and 149,909.10

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Solution

The fourth proportional to 234,887.82, 324,009.63 and 149,909.10 is: 206,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,887.82 : 324,009.63 = 149,909.10 : x
  2. Step 2: Convert to fraction form
    234,887.82/324,009.63 = 149,909.10/x
  3. Step 3: Cross multiply
    234,887.82x = 324,009.63 × 149,909.10
  4. Step 4: Simplify right side
    234,887.82x = 48,571,992,024.63
  5. Step 5: Solve for x
    x = 48,571,992,024.63/234,887.82
  6. Step 6: Final answer
    x = 206,788.04

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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.