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Finding the Fourth Proportional to 137,194.68, 205,815.06 and 47,233.80

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Solution

The fourth proportional to 137,194.68, 205,815.06 and 47,233.80 is: 70,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,194.68 : 205,815.06 = 47,233.80 : x
  2. Step 2: Convert to fraction form
    137,194.68/205,815.06 = 47,233.80/x
  3. Step 3: Cross multiply
    137,194.68x = 205,815.06 × 47,233.80
  4. Step 4: Simplify right side
    137,194.68x = 9,721,427,381.03
  5. Step 5: Solve for x
    x = 9,721,427,381.03/137,194.68
  6. Step 6: Final answer
    x = 70,858.63

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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.