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Finding the Fourth Proportional to 116,381.12, 160,619.64 and 65,393.96

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Solution

The fourth proportional to 116,381.12, 160,619.64 and 65,393.96 is: 90,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,381.12 : 160,619.64 = 65,393.96 : x
  2. Step 2: Convert to fraction form
    116,381.12/160,619.64 = 65,393.96/x
  3. Step 3: Cross multiply
    116,381.12x = 160,619.64 × 65,393.96
  4. Step 4: Simplify right side
    116,381.12x = 10,503,554,313.37
  5. Step 5: Solve for x
    x = 10,503,554,313.37/116,381.12
  6. Step 6: Final answer
    x = 90,251.36

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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.