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Finding the Fourth Proportional to 222,041.94, 333,146.54 and 133,357.26

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Solution

The fourth proportional to 222,041.94, 333,146.54 and 133,357.26 is: 200,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,041.94 : 333,146.54 = 133,357.26 : x
  2. Step 2: Convert to fraction form
    222,041.94/333,146.54 = 133,357.26/x
  3. Step 3: Cross multiply
    222,041.94x = 333,146.54 × 133,357.26
  4. Step 4: Simplify right side
    222,041.94x = 44,427,509,752.88
  5. Step 5: Solve for x
    x = 44,427,509,752.88/222,041.94
  6. Step 6: Final answer
    x = 200,086.12

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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.