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Finding the Fourth Proportional to 129,954.73, 194,897.67 and 51,069.64

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Solution

The fourth proportional to 129,954.73, 194,897.67 and 51,069.64 is: 76,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,954.73 : 194,897.67 = 51,069.64 : x
  2. Step 2: Convert to fraction form
    129,954.73/194,897.67 = 51,069.64/x
  3. Step 3: Cross multiply
    129,954.73x = 194,897.67 × 51,069.64
  4. Step 4: Simplify right side
    129,954.73x = 9,953,353,843.74
  5. Step 5: Solve for x
    x = 9,953,353,843.74/129,954.73
  6. Step 6: Final answer
    x = 76,590.93

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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.