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Finding the Fourth Proportional to 202,954.46, 303,187.19 and 146,311.16

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Solution

The fourth proportional to 202,954.46, 303,187.19 and 146,311.16 is: 218,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,954.46 : 303,187.19 = 146,311.16 : x
  2. Step 2: Convert to fraction form
    202,954.46/303,187.19 = 146,311.16/x
  3. Step 3: Cross multiply
    202,954.46x = 303,187.19 × 146,311.16
  4. Step 4: Simplify right side
    202,954.46x = 44,359,667,218.55
  5. Step 5: Solve for x
    x = 44,359,667,218.55/202,954.46
  6. Step 6: Final answer
    x = 218,569.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.