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Finding the Fourth Proportional to 242,384.05, 363,606.05 and 82,486.81

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Solution

The fourth proportional to 242,384.05, 363,606.05 and 82,486.81 is: 123,740.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,384.05 : 363,606.05 = 82,486.81 : x
  2. Step 2: Convert to fraction form
    242,384.05/363,606.05 = 82,486.81/x
  3. Step 3: Cross multiply
    242,384.05x = 363,606.05 × 82,486.81
  4. Step 4: Simplify right side
    242,384.05x = 29,992,703,161.20
  5. Step 5: Solve for x
    x = 29,992,703,161.20/242,384.05
  6. Step 6: Final answer
    x = 123,740.42

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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.