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Finding the Fourth Proportional to 116,026.46, 160,115.22 and 65,047.49

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Solution

The fourth proportional to 116,026.46, 160,115.22 and 65,047.49 is: 89,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,026.46 : 160,115.22 = 65,047.49 : x
  2. Step 2: Convert to fraction form
    116,026.46/160,115.22 = 65,047.49/x
  3. Step 3: Cross multiply
    116,026.46x = 160,115.22 × 65,047.49
  4. Step 4: Simplify right side
    116,026.46x = 10,415,092,371.22
  5. Step 5: Solve for x
    x = 10,415,092,371.22/116,026.46
  6. Step 6: Final answer
    x = 89,764.81

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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.