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Finding the Fourth Proportional to 202,136.68, 303,235.28 and 65,314.04

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Solution

The fourth proportional to 202,136.68, 303,235.28 and 65,314.04 is: 97,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,136.68 : 303,235.28 = 65,314.04 : x
  2. Step 2: Convert to fraction form
    202,136.68/303,235.28 = 65,314.04/x
  3. Step 3: Cross multiply
    202,136.68x = 303,235.28 × 65,314.04
  4. Step 4: Simplify right side
    202,136.68x = 19,805,521,207.33
  5. Step 5: Solve for x
    x = 19,805,521,207.33/202,136.68
  6. Step 6: Final answer
    x = 97,980.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.