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Finding the Fourth Proportional to 142,592.69, 213,815.21 and 76,014.94

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Solution

The fourth proportional to 142,592.69, 213,815.21 and 76,014.94 is: 113,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,592.69 : 213,815.21 = 76,014.94 : x
  2. Step 2: Convert to fraction form
    142,592.69/213,815.21 = 76,014.94/x
  3. Step 3: Cross multiply
    142,592.69x = 213,815.21 × 76,014.94
  4. Step 4: Simplify right side
    142,592.69x = 16,253,148,910.09
  5. Step 5: Solve for x
    x = 16,253,148,910.09/142,592.69
  6. Step 6: Final answer
    x = 113,983.04

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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.