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Finding the Fourth Proportional to 222,624.66, 333,725.79 and 82,288.02

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Solution

The fourth proportional to 222,624.66, 333,725.79 and 82,288.02 is: 123,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,624.66 : 333,725.79 = 82,288.02 : x
  2. Step 2: Convert to fraction form
    222,624.66/333,725.79 = 82,288.02/x
  3. Step 3: Cross multiply
    222,624.66x = 333,725.79 × 82,288.02
  4. Step 4: Simplify right side
    222,624.66x = 27,461,634,482.04
  5. Step 5: Solve for x
    x = 27,461,634,482.04/222,624.66
  6. Step 6: Final answer
    x = 123,353.96

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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.