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Finding the Fourth Proportional to 123,677.67, 170,595.68 and 82,843.95

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Solution

The fourth proportional to 123,677.67, 170,595.68 and 82,843.95 is: 114,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,677.67 : 170,595.68 = 82,843.95 : x
  2. Step 2: Convert to fraction form
    123,677.67/170,595.68 = 82,843.95/x
  3. Step 3: Cross multiply
    123,677.67x = 170,595.68 × 82,843.95
  4. Step 4: Simplify right side
    123,677.67x = 14,132,819,569.92
  5. Step 5: Solve for x
    x = 14,132,819,569.92/123,677.67
  6. Step 6: Final answer
    x = 114,271.39

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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.