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Finding the Fourth Proportional to 137,049.96, 205,580.94 and 47,154.60

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Solution

The fourth proportional to 137,049.96, 205,580.94 and 47,154.60 is: 70,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,049.96 : 205,580.94 = 47,154.60 : x
  2. Step 2: Convert to fraction form
    137,049.96/205,580.94 = 47,154.60/x
  3. Step 3: Cross multiply
    137,049.96x = 205,580.94 × 47,154.60
  4. Step 4: Simplify right side
    137,049.96x = 9,694,086,993.32
  5. Step 5: Solve for x
    x = 9,694,086,993.32/137,049.96
  6. Step 6: Final answer
    x = 70,733.96

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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.