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Finding the Fourth Proportional to 202,184.70, 303,605.10 and 113,611.20

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Solution

The fourth proportional to 202,184.70, 303,605.10 and 113,611.20 is: 170,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,184.70 : 303,605.10 = 113,611.20 : x
  2. Step 2: Convert to fraction form
    202,184.70/303,605.10 = 113,611.20/x
  3. Step 3: Cross multiply
    202,184.70x = 303,605.10 × 113,611.20
  4. Step 4: Simplify right side
    202,184.70x = 34,492,939,737.12
  5. Step 5: Solve for x
    x = 34,492,939,737.12/202,184.70
  6. Step 6: Final answer
    x = 170,601.14

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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.