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Finding the Fourth Proportional to 254,229.52, 350,749.84 and 145,255.67

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Solution

The fourth proportional to 254,229.52, 350,749.84 and 145,255.67 is: 200,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,229.52 : 350,749.84 = 145,255.67 : x
  2. Step 2: Convert to fraction form
    254,229.52/350,749.84 = 145,255.67/x
  3. Step 3: Cross multiply
    254,229.52x = 350,749.84 × 145,255.67
  4. Step 4: Simplify right side
    254,229.52x = 50,948,402,890.90
  5. Step 5: Solve for x
    x = 50,948,402,890.90/254,229.52
  6. Step 6: Final answer
    x = 200,403.17

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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.