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Finding the Fourth Proportional to 116,722.51, 161,075.31 and 65,735.38

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Solution

The fourth proportional to 116,722.51, 161,075.31 and 65,735.38 is: 90,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,722.51 : 161,075.31 = 65,735.38 : x
  2. Step 2: Convert to fraction form
    116,722.51/161,075.31 = 65,735.38/x
  3. Step 3: Cross multiply
    116,722.51x = 161,075.31 × 65,735.38
  4. Step 4: Simplify right side
    116,722.51x = 10,588,345,906.09
  5. Step 5: Solve for x
    x = 10,588,345,906.09/116,722.51
  6. Step 6: Final answer
    x = 90,713.83

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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.