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Finding the Fourth Proportional to 210,136.68, 289,990.26 and 114,644.16

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Solution

The fourth proportional to 210,136.68, 289,990.26 and 114,644.16 is: 158,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,136.68 : 289,990.26 = 114,644.16 : x
  2. Step 2: Convert to fraction form
    210,136.68/289,990.26 = 114,644.16/x
  3. Step 3: Cross multiply
    210,136.68x = 289,990.26 × 114,644.16
  4. Step 4: Simplify right side
    210,136.68x = 33,245,689,765.88
  5. Step 5: Solve for x
    x = 33,245,689,765.88/210,136.68
  6. Step 6: Final answer
    x = 158,209.84

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