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Finding the Fourth Proportional to 116,353.30, 160,567.26 and 65,367.46

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Solution

The fourth proportional to 116,353.30, 160,567.26 and 65,367.46 is: 90,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,353.30 : 160,567.26 = 65,367.46 : x
  2. Step 2: Convert to fraction form
    116,353.30/160,567.26 = 65,367.46/x
  3. Step 3: Cross multiply
    116,353.30x = 160,567.26 × 65,367.46
  4. Step 4: Simplify right side
    116,353.30x = 10,495,873,945.36
  5. Step 5: Solve for x
    x = 10,495,873,945.36/116,353.30
  6. Step 6: Final answer
    x = 90,206.93

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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.