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Finding the Fourth Proportional to 259,265.50, 357,786.63 and 140,033.50

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Solution

The fourth proportional to 259,265.50, 357,786.63 and 140,033.50 is: 193,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,265.50 : 357,786.63 = 140,033.50 : x
  2. Step 2: Convert to fraction form
    259,265.50/357,786.63 = 140,033.50/x
  3. Step 3: Cross multiply
    259,265.50x = 357,786.63 × 140,033.50
  4. Step 4: Simplify right side
    259,265.50x = 50,102,114,052.11
  5. Step 5: Solve for x
    x = 50,102,114,052.11/259,265.50
  6. Step 6: Final answer
    x = 193,246.36

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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.