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Finding the Fourth Proportional to 137,193.68, 205,813.56 and 47,232.80

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Solution

The fourth proportional to 137,193.68, 205,813.56 and 47,232.80 is: 70,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,193.68 : 205,813.56 = 47,232.80 : x
  2. Step 2: Convert to fraction form
    137,193.68/205,813.56 = 47,232.80/x
  3. Step 3: Cross multiply
    137,193.68x = 205,813.56 × 47,232.80
  4. Step 4: Simplify right side
    137,193.68x = 9,721,150,716.77
  5. Step 5: Solve for x
    x = 9,721,150,716.77/137,193.68
  6. Step 6: Final answer
    x = 70,857.13

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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.