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Finding the Fourth Proportional to 202,172.70, 303,587.10 and 113,599.20

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Solution

The fourth proportional to 202,172.70, 303,587.10 and 113,599.20 is: 170,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,172.70 : 303,587.10 = 113,599.20 : x
  2. Step 2: Convert to fraction form
    202,172.70/303,587.10 = 113,599.20/x
  3. Step 3: Cross multiply
    202,172.70x = 303,587.10 × 113,599.20
  4. Step 4: Simplify right side
    202,172.70x = 34,487,251,690.32
  5. Step 5: Solve for x
    x = 34,487,251,690.32/202,172.70
  6. Step 6: Final answer
    x = 170,583.13

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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.