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Finding the Fourth Proportional to 136,634.40, 188,526.80 and 82,947.68

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Solution

The fourth proportional to 136,634.40, 188,526.80 and 82,947.68 is: 114,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,634.40 : 188,526.80 = 82,947.68 : x
  2. Step 2: Convert to fraction form
    136,634.40/188,526.80 = 82,947.68/x
  3. Step 3: Cross multiply
    136,634.40x = 188,526.80 × 82,947.68
  4. Step 4: Simplify right side
    136,634.40x = 15,637,860,677.82
  5. Step 5: Solve for x
    x = 15,637,860,677.82/136,634.40
  6. Step 6: Final answer
    x = 114,450.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.