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Finding the Fourth Proportional to 232,539.24, 320,965.50 and 137,109.50

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Solution

The fourth proportional to 232,539.24, 320,965.50 and 137,109.50 is: 189,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,539.24 : 320,965.50 = 137,109.50 : x
  2. Step 2: Convert to fraction form
    232,539.24/320,965.50 = 137,109.50/x
  3. Step 3: Cross multiply
    232,539.24x = 320,965.50 × 137,109.50
  4. Step 4: Simplify right side
    232,539.24x = 44,007,419,222.25
  5. Step 5: Solve for x
    x = 44,007,419,222.25/232,539.24
  6. Step 6: Final answer
    x = 189,247.28

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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.