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Finding the Fourth Proportional to 222,546, 333,950.22 and 82,403.04

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Solution

The fourth proportional to 222,546, 333,950.22 and 82,403.04 is: 123,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,546 : 333,950.22 = 82,403.04 : x
  2. Step 2: Convert to fraction form
    222,546/333,950.22 = 82,403.04/x
  3. Step 3: Cross multiply
    222,546x = 333,950.22 × 82,403.04
  4. Step 4: Simplify right side
    222,546x = 27,518,513,336.67
  5. Step 5: Solve for x
    x = 27,518,513,336.67/222,546
  6. Step 6: Final answer
    x = 123,653.15

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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.