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Finding the Fourth Proportional to 254,899.76, 382,324.86 and 77,408.33

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Solution

The fourth proportional to 254,899.76, 382,324.86 and 77,408.33 is: 116,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,899.76 : 382,324.86 = 77,408.33 : x
  2. Step 2: Convert to fraction form
    254,899.76/382,324.86 = 77,408.33/x
  3. Step 3: Cross multiply
    254,899.76x = 382,324.86 × 77,408.33
  4. Step 4: Simplify right side
    254,899.76x = 29,595,127,018.46
  5. Step 5: Solve for x
    x = 29,595,127,018.46/254,899.76
  6. Step 6: Final answer
    x = 116,104.96

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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.