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Finding the Fourth Proportional to 116,199.63, 160,355.49 and 65,898.63

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Solution

The fourth proportional to 116,199.63, 160,355.49 and 65,898.63 is: 90,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,199.63 : 160,355.49 = 65,898.63 : x
  2. Step 2: Convert to fraction form
    116,199.63/160,355.49 = 65,898.63/x
  3. Step 3: Cross multiply
    116,199.63x = 160,355.49 × 65,898.63
  4. Step 4: Simplify right side
    116,199.63x = 10,567,205,972.71
  5. Step 5: Solve for x
    x = 10,567,205,972.71/116,199.63
  6. Step 6: Final answer
    x = 90,940.10

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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.