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Finding the Fourth Proportional to 116,352.98, 160,582.20 and 71,021.48

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Solution

The fourth proportional to 116,352.98, 160,582.20 and 71,021.48 is: 98,018.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,352.98 : 160,582.20 = 71,021.48 : x
  2. Step 2: Convert to fraction form
    116,352.98/160,582.20 = 71,021.48/x
  3. Step 3: Cross multiply
    116,352.98x = 160,582.20 × 71,021.48
  4. Step 4: Simplify right side
    116,352.98x = 11,404,785,505.66
  5. Step 5: Solve for x
    x = 11,404,785,505.66/116,352.98
  6. Step 6: Final answer
    x = 98,018.85

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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.