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Finding the Fourth Proportional to 139,646.25, 192,710.21 and 75,982.95

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Solution

The fourth proportional to 139,646.25, 192,710.21 and 75,982.95 is: 104,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,646.25 : 192,710.21 = 75,982.95 : x
  2. Step 2: Convert to fraction form
    139,646.25/192,710.21 = 75,982.95/x
  3. Step 3: Cross multiply
    139,646.25x = 192,710.21 × 75,982.95
  4. Step 4: Simplify right side
    139,646.25x = 14,642,689,871.00
  5. Step 5: Solve for x
    x = 14,642,689,871.00/139,646.25
  6. Step 6: Final answer
    x = 104,855.59

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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.