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Finding the Fourth Proportional to 222,252.48, 306,702.72 and 121,644

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Solution

The fourth proportional to 222,252.48, 306,702.72 and 121,644 is: 167,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,252.48 : 306,702.72 = 121,644 : x
  2. Step 2: Convert to fraction form
    222,252.48/306,702.72 = 121,644/x
  3. Step 3: Cross multiply
    222,252.48x = 306,702.72 × 121,644
  4. Step 4: Simplify right side
    222,252.48x = 37,308,545,671.68
  5. Step 5: Solve for x
    x = 37,308,545,671.68/222,252.48
  6. Step 6: Final answer
    x = 167,865.60

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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.