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Finding the Fourth Proportional to 116,203.72, 160,359.14 and 65,217.64

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Solution

The fourth proportional to 116,203.72, 160,359.14 and 65,217.64 is: 89,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,203.72 : 160,359.14 = 65,217.64 : x
  2. Step 2: Convert to fraction form
    116,203.72/160,359.14 = 65,217.64/x
  3. Step 3: Cross multiply
    116,203.72x = 160,359.14 × 65,217.64
  4. Step 4: Simplify right side
    116,203.72x = 10,458,244,663.23
  5. Step 5: Solve for x
    x = 10,458,244,663.23/116,203.72
  6. Step 6: Final answer
    x = 89,999.22

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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.