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Finding the Fourth Proportional to 116,203.97, 160,364.67 and 65,219.87

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Solution

The fourth proportional to 116,203.97, 160,364.67 and 65,219.87 is: 90,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,203.97 : 160,364.67 = 65,219.87 : x
  2. Step 2: Convert to fraction form
    116,203.97/160,364.67 = 65,219.87/x
  3. Step 3: Cross multiply
    116,203.97x = 160,364.67 × 65,219.87
  4. Step 4: Simplify right side
    116,203.97x = 10,458,962,929.99
  5. Step 5: Solve for x
    x = 10,458,962,929.99/116,203.97
  6. Step 6: Final answer
    x = 90,005.21

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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.