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Finding the Fourth Proportional to 100,702.15, 138,972.53 and 55,383.64

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Solution

The fourth proportional to 100,702.15, 138,972.53 and 55,383.64 is: 76,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.15 : 138,972.53 = 55,383.64 : x
  2. Step 2: Convert to fraction form
    100,702.15/138,972.53 = 55,383.64/x
  3. Step 3: Cross multiply
    100,702.15x = 138,972.53 × 55,383.64
  4. Step 4: Simplify right side
    100,702.15x = 7,696,804,362.44
  5. Step 5: Solve for x
    x = 7,696,804,362.44/100,702.15
  6. Step 6: Final answer
    x = 76,431.38

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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.