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Finding the Fourth Proportional to 254,384.22, 381,590.37 and 76,886.76

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Solution

The fourth proportional to 254,384.22, 381,590.37 and 76,886.76 is: 115,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,384.22 : 381,590.37 = 76,886.76 : x
  2. Step 2: Convert to fraction form
    254,384.22/381,590.37 = 76,886.76/x
  3. Step 3: Cross multiply
    254,384.22x = 381,590.37 × 76,886.76
  4. Step 4: Simplify right side
    254,384.22x = 29,339,247,196.50
  5. Step 5: Solve for x
    x = 29,339,247,196.50/254,384.22
  6. Step 6: Final answer
    x = 115,334.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.