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Finding the Fourth Proportional to 82,289.25, 113,623.34 and 63,138.60

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Solution

The fourth proportional to 82,289.25, 113,623.34 and 63,138.60 is: 87,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,289.25 : 113,623.34 = 63,138.60 : x
  2. Step 2: Convert to fraction form
    82,289.25/113,623.34 = 63,138.60/x
  3. Step 3: Cross multiply
    82,289.25x = 113,623.34 × 63,138.60
  4. Step 4: Simplify right side
    82,289.25x = 7,174,018,299.23
  5. Step 5: Solve for x
    x = 7,174,018,299.23/82,289.25
  6. Step 6: Final answer
    x = 87,180.50

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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.