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Finding the Fourth Proportional to 116,952.50, 161,394.20 and 65,965.07

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Solution

The fourth proportional to 116,952.50, 161,394.20 and 65,965.07 is: 91,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,952.50 : 161,394.20 = 65,965.07 : x
  2. Step 2: Convert to fraction form
    116,952.50/161,394.20 = 65,965.07/x
  3. Step 3: Cross multiply
    116,952.50x = 161,394.20 × 65,965.07
  4. Step 4: Simplify right side
    116,952.50x = 10,646,378,563.80
  5. Step 5: Solve for x
    x = 10,646,378,563.80/116,952.50
  6. Step 6: Final answer
    x = 91,031.65

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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.