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Finding the Fourth Proportional to 116,230.08, 160,399.86 and 65,246.48

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Solution

The fourth proportional to 116,230.08, 160,399.86 and 65,246.48 is: 90,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,230.08 : 160,399.86 = 65,246.48 : x
  2. Step 2: Convert to fraction form
    116,230.08/160,399.86 = 65,246.48/x
  3. Step 3: Cross multiply
    116,230.08x = 160,399.86 × 65,246.48
  4. Step 4: Simplify right side
    116,230.08x = 10,465,526,257.49
  5. Step 5: Solve for x
    x = 10,465,526,257.49/116,230.08
  6. Step 6: Final answer
    x = 90,041.46

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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.