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Finding the Fourth Proportional to 139,954.68, 193,136.28 and 76,291.14

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Solution

The fourth proportional to 139,954.68, 193,136.28 and 76,291.14 is: 105,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,954.68 : 193,136.28 = 76,291.14 : x
  2. Step 2: Convert to fraction form
    139,954.68/193,136.28 = 76,291.14/x
  3. Step 3: Cross multiply
    139,954.68x = 193,136.28 × 76,291.14
  4. Step 4: Simplify right side
    139,954.68x = 14,734,586,976.56
  5. Step 5: Solve for x
    x = 14,734,586,976.56/139,954.68
  6. Step 6: Final answer
    x = 105,281.13

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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.