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Finding the Fourth Proportional to 116,769, 161,145.06 and 63,777

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Solution

The fourth proportional to 116,769, 161,145.06 and 63,777 is: 88,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,769 : 161,145.06 = 63,777 : x
  2. Step 2: Convert to fraction form
    116,769/161,145.06 = 63,777/x
  3. Step 3: Cross multiply
    116,769x = 161,145.06 × 63,777
  4. Step 4: Simplify right side
    116,769x = 10,277,348,491.62
  5. Step 5: Solve for x
    x = 10,277,348,491.62/116,769
  6. Step 6: Final answer
    x = 88,014.36

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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.