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Finding the Fourth Proportional to 137,477.44, 206,212.38 and 43,981.84

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Solution

The fourth proportional to 137,477.44, 206,212.38 and 43,981.84 is: 65,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,477.44 : 206,212.38 = 43,981.84 : x
  2. Step 2: Convert to fraction form
    137,477.44/206,212.38 = 43,981.84/x
  3. Step 3: Cross multiply
    137,477.44x = 206,212.38 × 43,981.84
  4. Step 4: Simplify right side
    137,477.44x = 9,069,599,903.18
  5. Step 5: Solve for x
    x = 9,069,599,903.18/137,477.44
  6. Step 6: Final answer
    x = 65,971.55

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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.