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Finding the Fourth Proportional to 254,241.72, 381,462.90 and 96,512.04

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Solution

The fourth proportional to 254,241.72, 381,462.90 and 96,512.04 is: 144,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,241.72 : 381,462.90 = 96,512.04 : x
  2. Step 2: Convert to fraction form
    254,241.72/381,462.90 = 96,512.04/x
  3. Step 3: Cross multiply
    254,241.72x = 381,462.90 × 96,512.04
  4. Step 4: Simplify right side
    254,241.72x = 36,815,762,663.32
  5. Step 5: Solve for x
    x = 36,815,762,663.32/254,241.72
  6. Step 6: Final answer
    x = 144,806.14

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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.