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Finding the Fourth Proportional to 202,027.84, 303,145.62 and 154,945.40

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Solution

The fourth proportional to 202,027.84, 303,145.62 and 154,945.40 is: 232,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,027.84 : 303,145.62 = 154,945.40 : x
  2. Step 2: Convert to fraction form
    202,027.84/303,145.62 = 154,945.40/x
  3. Step 3: Cross multiply
    202,027.84x = 303,145.62 × 154,945.40
  4. Step 4: Simplify right side
    202,027.84x = 46,971,019,349.15
  5. Step 5: Solve for x
    x = 46,971,019,349.15/202,027.84
  6. Step 6: Final answer
    x = 232,497.76

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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.