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Finding the Fourth Proportional to 222,654.50, 307,264.29 and 133,230.50

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Solution

The fourth proportional to 222,654.50, 307,264.29 and 133,230.50 is: 183,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,654.50 : 307,264.29 = 133,230.50 : x
  2. Step 2: Convert to fraction form
    222,654.50/307,264.29 = 133,230.50/x
  3. Step 3: Cross multiply
    222,654.50x = 307,264.29 × 133,230.50
  4. Step 4: Simplify right side
    222,654.50x = 40,936,974,988.85
  5. Step 5: Solve for x
    x = 40,936,974,988.85/222,654.50
  6. Step 6: Final answer
    x = 183,858.74

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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.