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Finding the Fourth Proportional to 269,238.40, 403,739.52 and 91,696.48

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Solution

The fourth proportional to 269,238.40, 403,739.52 and 91,696.48 is: 137,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,238.40 : 403,739.52 = 91,696.48 : x
  2. Step 2: Convert to fraction form
    269,238.40/403,739.52 = 91,696.48/x
  3. Step 3: Cross multiply
    269,238.40x = 403,739.52 × 91,696.48
  4. Step 4: Simplify right side
    269,238.40x = 37,021,492,820.89
  5. Step 5: Solve for x
    x = 37,021,492,820.89/269,238.40
  6. Step 6: Final answer
    x = 137,504.50

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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.