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Finding the Fourth Proportional to 222,417.60, 333,626.40 and 82,147.20

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Solution

The fourth proportional to 222,417.60, 333,626.40 and 82,147.20 is: 123,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,417.60 : 333,626.40 = 82,147.20 : x
  2. Step 2: Convert to fraction form
    222,417.60/333,626.40 = 82,147.20/x
  3. Step 3: Cross multiply
    222,417.60x = 333,626.40 × 82,147.20
  4. Step 4: Simplify right side
    222,417.60x = 27,406,474,606.08
  5. Step 5: Solve for x
    x = 27,406,474,606.08/222,417.60
  6. Step 6: Final answer
    x = 123,220.80

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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.