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Finding the Fourth Proportional to 222,540.84, 307,008.90 and 133,065

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Solution

The fourth proportional to 222,540.84, 307,008.90 and 133,065 is: 183,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,540.84 : 307,008.90 = 133,065 : x
  2. Step 2: Convert to fraction form
    222,540.84/307,008.90 = 133,065/x
  3. Step 3: Cross multiply
    222,540.84x = 307,008.90 × 133,065
  4. Step 4: Simplify right side
    222,540.84x = 40,852,139,278.50
  5. Step 5: Solve for x
    x = 40,852,139,278.50/222,540.84
  6. Step 6: Final answer
    x = 183,571.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.