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Finding the Fourth Proportional to 222,897.60, 334,346.40 and 82,627.20

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Solution

The fourth proportional to 222,897.60, 334,346.40 and 82,627.20 is: 123,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,897.60 : 334,346.40 = 82,627.20 : x
  2. Step 2: Convert to fraction form
    222,897.60/334,346.40 = 82,627.20/x
  3. Step 3: Cross multiply
    222,897.60x = 334,346.40 × 82,627.20
  4. Step 4: Simplify right side
    222,897.60x = 27,626,106,862.08
  5. Step 5: Solve for x
    x = 27,626,106,862.08/222,897.60
  6. Step 6: Final answer
    x = 123,940.80

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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.