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Finding the Fourth Proportional to 202,228.10, 303,342.15 and 102,695.30

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Solution

The fourth proportional to 202,228.10, 303,342.15 and 102,695.30 is: 154,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,228.10 : 303,342.15 = 102,695.30 : x
  2. Step 2: Convert to fraction form
    202,228.10/303,342.15 = 102,695.30/x
  3. Step 3: Cross multiply
    202,228.10x = 303,342.15 × 102,695.30
  4. Step 4: Simplify right side
    202,228.10x = 31,151,813,096.90
  5. Step 5: Solve for x
    x = 31,151,813,096.90/202,228.10
  6. Step 6: Final answer
    x = 154,042.95

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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.