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Finding the Fourth Proportional to 160,779.38, 221,951.73 and 107,153.78

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Solution

The fourth proportional to 160,779.38, 221,951.73 and 107,153.78 is: 147,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,779.38 : 221,951.73 = 107,153.78 : x
  2. Step 2: Convert to fraction form
    160,779.38/221,951.73 = 107,153.78/x
  3. Step 3: Cross multiply
    160,779.38x = 221,951.73 × 107,153.78
  4. Step 4: Simplify right side
    160,779.38x = 23,782,966,847.04
  5. Step 5: Solve for x
    x = 23,782,966,847.04/160,779.38
  6. Step 6: Final answer
    x = 147,922.99

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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.