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Finding the Fourth Proportional to 242,162.57, 363,299.14 and 73,706.77

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Solution

The fourth proportional to 242,162.57, 363,299.14 and 73,706.77 is: 110,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,162.57 : 363,299.14 = 73,706.77 : x
  2. Step 2: Convert to fraction form
    242,162.57/363,299.14 = 73,706.77/x
  3. Step 3: Cross multiply
    242,162.57x = 363,299.14 × 73,706.77
  4. Step 4: Simplify right side
    242,162.57x = 26,777,606,699.44
  5. Step 5: Solve for x
    x = 26,777,606,699.44/242,162.57
  6. Step 6: Final answer
    x = 110,576.98

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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.