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Finding the Fourth Proportional to 116,803.97, 161,187.57 and 65,821.92

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Solution

The fourth proportional to 116,803.97, 161,187.57 and 65,821.92 is: 90,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,803.97 : 161,187.57 = 65,821.92 : x
  2. Step 2: Convert to fraction form
    116,803.97/161,187.57 = 65,821.92/x
  3. Step 3: Cross multiply
    116,803.97x = 161,187.57 × 65,821.92
  4. Step 4: Simplify right side
    116,803.97x = 10,609,674,733.08
  5. Step 5: Solve for x
    x = 10,609,674,733.08/116,803.97
  6. Step 6: Final answer
    x = 90,833.17

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Why These Related Problems?

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