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Finding the Fourth Proportional to 242,384.94, 363,594.01 and 82,395.77

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Solution

The fourth proportional to 242,384.94, 363,594.01 and 82,395.77 is: 123,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,384.94 : 363,594.01 = 82,395.77 : x
  2. Step 2: Convert to fraction form
    242,384.94/363,594.01 = 82,395.77/x
  3. Step 3: Cross multiply
    242,384.94x = 363,594.01 × 82,395.77
  4. Step 4: Simplify right side
    242,384.94x = 29,958,606,603.37
  5. Step 5: Solve for x
    x = 29,958,606,603.37/242,384.94
  6. Step 6: Final answer
    x = 123,599.29

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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.