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Finding the Fourth Proportional to 116,003.64, 173,978.20 and 65,424.48

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Solution

The fourth proportional to 116,003.64, 173,978.20 and 65,424.48 is: 98,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,003.64 : 173,978.20 = 65,424.48 : x
  2. Step 2: Convert to fraction form
    116,003.64/173,978.20 = 65,424.48/x
  3. Step 3: Cross multiply
    116,003.64x = 173,978.20 × 65,424.48
  4. Step 4: Simplify right side
    116,003.64x = 11,382,433,266.34
  5. Step 5: Solve for x
    x = 11,382,433,266.34/116,003.64
  6. Step 6: Final answer
    x = 98,121.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.