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Finding the Fourth Proportional to 116,649.40, 160,971.54 and 68,918.20

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Solution

The fourth proportional to 116,649.40, 160,971.54 and 68,918.20 is: 95,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,649.40 : 160,971.54 = 68,918.20 : x
  2. Step 2: Convert to fraction form
    116,649.40/160,971.54 = 68,918.20/x
  3. Step 3: Cross multiply
    116,649.40x = 160,971.54 × 68,918.20
  4. Step 4: Simplify right side
    116,649.40x = 11,093,868,788.03
  5. Step 5: Solve for x
    x = 11,093,868,788.03/116,649.40
  6. Step 6: Final answer
    x = 95,104.38

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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.