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Finding the Fourth Proportional to 116,955.94, 161,389.45 and 65,965.86

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Solution

The fourth proportional to 116,955.94, 161,389.45 and 65,965.86 is: 91,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,955.94 : 161,389.45 = 65,965.86 : x
  2. Step 2: Convert to fraction form
    116,955.94/161,389.45 = 65,965.86/x
  3. Step 3: Cross multiply
    116,955.94x = 161,389.45 × 65,965.86
  4. Step 4: Simplify right side
    116,955.94x = 10,646,193,864.18
  5. Step 5: Solve for x
    x = 10,646,193,864.18/116,955.94
  6. Step 6: Final answer
    x = 91,027.39

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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.