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Finding the Fourth Proportional to 254,558.81, 381,887.35 and 96,774.96

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Solution

The fourth proportional to 254,558.81, 381,887.35 and 96,774.96 is: 145,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,558.81 : 381,887.35 = 96,774.96 : x
  2. Step 2: Convert to fraction form
    254,558.81/381,887.35 = 96,774.96/x
  3. Step 3: Cross multiply
    254,558.81x = 381,887.35 × 96,774.96
  4. Step 4: Simplify right side
    254,558.81x = 36,957,134,210.90
  5. Step 5: Solve for x
    x = 36,957,134,210.90/254,558.81
  6. Step 6: Final answer
    x = 145,181.12

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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.