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Finding the Fourth Proportional to 254,022.72, 350,480 and 200,140.48

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Solution

The fourth proportional to 254,022.72, 350,480 and 200,140.48 is: 276,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,022.72 : 350,480 = 200,140.48 : x
  2. Step 2: Convert to fraction form
    254,022.72/350,480 = 200,140.48/x
  3. Step 3: Cross multiply
    254,022.72x = 350,480 × 200,140.48
  4. Step 4: Simplify right side
    254,022.72x = 70,145,235,430.40
  5. Step 5: Solve for x
    x = 70,145,235,430.40/254,022.72
  6. Step 6: Final answer
    x = 276,137.64

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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.