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Finding the Fourth Proportional to 116,497.91, 160,765.22 and 64,813.03

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Solution

The fourth proportional to 116,497.91, 160,765.22 and 64,813.03 is: 89,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,497.91 : 160,765.22 = 64,813.03 : x
  2. Step 2: Convert to fraction form
    116,497.91/160,765.22 = 64,813.03/x
  3. Step 3: Cross multiply
    116,497.91x = 160,765.22 × 64,813.03
  4. Step 4: Simplify right side
    116,497.91x = 10,419,680,786.94
  5. Step 5: Solve for x
    x = 10,419,680,786.94/116,497.91
  6. Step 6: Final answer
    x = 89,440.92

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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.