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Finding the Fourth Proportional to 116,204.63, 160,362.38 and 65,903.63

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Solution

The fourth proportional to 116,204.63, 160,362.38 and 65,903.63 is: 90,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,204.63 : 160,362.38 = 65,903.63 : x
  2. Step 2: Convert to fraction form
    116,204.63/160,362.38 = 65,903.63/x
  3. Step 3: Cross multiply
    116,204.63x = 160,362.38 × 65,903.63
  4. Step 4: Simplify right side
    116,204.63x = 10,568,462,320.39
  5. Step 5: Solve for x
    x = 10,568,462,320.39/116,204.63
  6. Step 6: Final answer
    x = 90,947.00

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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.