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Finding the Fourth Proportional to 116,461.14, 160,722.07 and 65,489.91

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Solution

The fourth proportional to 116,461.14, 160,722.07 and 65,489.91 is: 90,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,461.14 : 160,722.07 = 65,489.91 : x
  2. Step 2: Convert to fraction form
    116,461.14/160,722.07 = 65,489.91/x
  3. Step 3: Cross multiply
    116,461.14x = 160,722.07 × 65,489.91
  4. Step 4: Simplify right side
    116,461.14x = 10,525,674,137.39
  5. Step 5: Solve for x
    x = 10,525,674,137.39/116,461.14
  6. Step 6: Final answer
    x = 90,379.29

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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.