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Finding the Fourth Proportional to 173,311.60, 259,724.40 and 137,833.60

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Solution

The fourth proportional to 173,311.60, 259,724.40 and 137,833.60 is: 206,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,311.60 : 259,724.40 = 137,833.60 : x
  2. Step 2: Convert to fraction form
    173,311.60/259,724.40 = 137,833.60/x
  3. Step 3: Cross multiply
    173,311.60x = 259,724.40 × 137,833.60
  4. Step 4: Simplify right side
    173,311.60x = 35,798,749,059.84
  5. Step 5: Solve for x
    x = 35,798,749,059.84/173,311.60
  6. Step 6: Final answer
    x = 206,557.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.