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Finding the Fourth Proportional to 160,780.38, 221,953.11 and 107,154.78

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Solution

The fourth proportional to 160,780.38, 221,953.11 and 107,154.78 is: 147,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,780.38 : 221,953.11 = 107,154.78 : x
  2. Step 2: Convert to fraction form
    160,780.38/221,953.11 = 107,154.78/x
  3. Step 3: Cross multiply
    160,780.38x = 221,953.11 × 107,154.78
  4. Step 4: Simplify right side
    160,780.38x = 23,783,336,672.37
  5. Step 5: Solve for x
    x = 23,783,336,672.37/160,780.38
  6. Step 6: Final answer
    x = 147,924.37

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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.