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Finding the Fourth Proportional to 222,702.76, 307,342.38 and 132,112.36

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Solution

The fourth proportional to 222,702.76, 307,342.38 and 132,112.36 is: 182,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,702.76 : 307,342.38 = 132,112.36 : x
  2. Step 2: Convert to fraction form
    222,702.76/307,342.38 = 132,112.36/x
  3. Step 3: Cross multiply
    222,702.76x = 307,342.38 × 132,112.36
  4. Step 4: Simplify right side
    222,702.76x = 40,603,727,149.82
  5. Step 5: Solve for x
    x = 40,603,727,149.82/222,702.76
  6. Step 6: Final answer
    x = 182,322.51

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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.