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Finding the Fourth Proportional to 160,920.96, 221,916.62 and 96,379.86

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Solution

The fourth proportional to 160,920.96, 221,916.62 and 96,379.86 is: 132,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,920.96 : 221,916.62 = 96,379.86 : x
  2. Step 2: Convert to fraction form
    160,920.96/221,916.62 = 96,379.86/x
  3. Step 3: Cross multiply
    160,920.96x = 221,916.62 × 96,379.86
  4. Step 4: Simplify right side
    160,920.96x = 21,388,292,285.37
  5. Step 5: Solve for x
    x = 21,388,292,285.37/160,920.96
  6. Step 6: Final answer
    x = 132,911.79

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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.