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Finding the Fourth Proportional to 137,729.40, 193,083.60 and 137,729.40

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Solution

The fourth proportional to 137,729.40, 193,083.60 and 137,729.40 is: 193,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,729.40 : 193,083.60 = 137,729.40 : x
  2. Step 2: Convert to fraction form
    137,729.40/193,083.60 = 137,729.40/x
  3. Step 3: Cross multiply
    137,729.40x = 193,083.60 × 137,729.40
  4. Step 4: Simplify right side
    137,729.40x = 26,593,288,377.84
  5. Step 5: Solve for x
    x = 26,593,288,377.84/137,729.40
  6. Step 6: Final answer
    x = 193,083.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.