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Finding the Fourth Proportional to 137,724.40, 193,076.60 and 137,724.40

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Solution

The fourth proportional to 137,724.40, 193,076.60 and 137,724.40 is: 193,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,724.40 : 193,076.60 = 137,724.40 : x
  2. Step 2: Convert to fraction form
    137,724.40/193,076.60 = 137,724.40/x
  3. Step 3: Cross multiply
    137,724.40x = 193,076.60 × 137,724.40
  4. Step 4: Simplify right side
    137,724.40x = 26,591,358,889.04
  5. Step 5: Solve for x
    x = 26,591,358,889.04/137,724.40
  6. Step 6: Final answer
    x = 193,076.60

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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.