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Finding the Fourth Proportional to 202,368.10, 303,552.15 and 102,835.30

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Solution

The fourth proportional to 202,368.10, 303,552.15 and 102,835.30 is: 154,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,368.10 : 303,552.15 = 102,835.30 : x
  2. Step 2: Convert to fraction form
    202,368.10/303,552.15 = 102,835.30/x
  3. Step 3: Cross multiply
    202,368.10x = 303,552.15 × 102,835.30
  4. Step 4: Simplify right side
    202,368.10x = 31,215,876,410.90
  5. Step 5: Solve for x
    x = 31,215,876,410.90/202,368.10
  6. Step 6: Final answer
    x = 154,252.95

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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.