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Finding the Fourth Proportional to 202,283.40, 303,753.15 and 136,017.30

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Solution

The fourth proportional to 202,283.40, 303,753.15 and 136,017.30 is: 204,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,283.40 : 303,753.15 = 136,017.30 : x
  2. Step 2: Convert to fraction form
    202,283.40/303,753.15 = 136,017.30/x
  3. Step 3: Cross multiply
    202,283.40x = 303,753.15 × 136,017.30
  4. Step 4: Simplify right side
    202,283.40x = 41,315,683,329.50
  5. Step 5: Solve for x
    x = 41,315,683,329.50/202,283.40
  6. Step 6: Final answer
    x = 204,246.53

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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.