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Finding the Fourth Proportional to 90,905.82, 125,414.64 and 56,900.40

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Solution

The fourth proportional to 90,905.82, 125,414.64 and 56,900.40 is: 78,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,905.82 : 125,414.64 = 56,900.40 : x
  2. Step 2: Convert to fraction form
    90,905.82/125,414.64 = 56,900.40/x
  3. Step 3: Cross multiply
    90,905.82x = 125,414.64 × 56,900.40
  4. Step 4: Simplify right side
    90,905.82x = 7,136,143,181.86
  5. Step 5: Solve for x
    x = 7,136,143,181.86/90,905.82
  6. Step 6: Final answer
    x = 78,500.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.