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Finding the Fourth Proportional to 242,424.94, 363,236.44 and 123,933.28

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Solution

The fourth proportional to 242,424.94, 363,236.44 and 123,933.28 is: 185,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,424.94 : 363,236.44 = 123,933.28 : x
  2. Step 2: Convert to fraction form
    242,424.94/363,236.44 = 123,933.28/x
  3. Step 3: Cross multiply
    242,424.94x = 363,236.44 × 123,933.28
  4. Step 4: Simplify right side
    242,424.94x = 45,017,083,424.72
  5. Step 5: Solve for x
    x = 45,017,083,424.72/242,424.94
  6. Step 6: Final answer
    x = 185,694.93

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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.