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Finding the Fourth Proportional to 257,450.40, 355,262.16 and 144,251.28

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Solution

The fourth proportional to 257,450.40, 355,262.16 and 144,251.28 is: 199,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,450.40 : 355,262.16 = 144,251.28 : x
  2. Step 2: Convert to fraction form
    257,450.40/355,262.16 = 144,251.28/x
  3. Step 3: Cross multiply
    257,450.40x = 355,262.16 × 144,251.28
  4. Step 4: Simplify right side
    257,450.40x = 51,247,021,315.56
  5. Step 5: Solve for x
    x = 51,247,021,315.56/257,450.40
  6. Step 6: Final answer
    x = 199,055.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.