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Finding the Fourth Proportional to 222,470.29, 333,702.63 and 53,992

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Solution

The fourth proportional to 222,470.29, 333,702.63 and 53,992 is: 80,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,470.29 : 333,702.63 = 53,992 : x
  2. Step 2: Convert to fraction form
    222,470.29/333,702.63 = 53,992/x
  3. Step 3: Cross multiply
    222,470.29x = 333,702.63 × 53,992
  4. Step 4: Simplify right side
    222,470.29x = 18,017,272,398.96
  5. Step 5: Solve for x
    x = 18,017,272,398.96/222,470.29
  6. Step 6: Final answer
    x = 80,987.32

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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.