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Finding the Fourth Proportional to 137,724.90, 193,077.30 and 137,724.90

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Solution

The fourth proportional to 137,724.90, 193,077.30 and 137,724.90 is: 193,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,724.90 : 193,077.30 = 137,724.90 : x
  2. Step 2: Convert to fraction form
    137,724.90/193,077.30 = 137,724.90/x
  3. Step 3: Cross multiply
    137,724.90x = 193,077.30 × 137,724.90
  4. Step 4: Simplify right side
    137,724.90x = 26,591,551,834.77
  5. Step 5: Solve for x
    x = 26,591,551,834.77/137,724.90
  6. Step 6: Final answer
    x = 193,077.30

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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.