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Finding the Fourth Proportional to 273,063.78, 409,475.39 and 146,666.12

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Solution

The fourth proportional to 273,063.78, 409,475.39 and 146,666.12 is: 219,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,063.78 : 409,475.39 = 146,666.12 : x
  2. Step 2: Convert to fraction form
    273,063.78/409,475.39 = 146,666.12/x
  3. Step 3: Cross multiply
    273,063.78x = 409,475.39 × 146,666.12
  4. Step 4: Simplify right side
    273,063.78x = 60,056,163,906.08
  5. Step 5: Solve for x
    x = 60,056,163,906.08/273,063.78
  6. Step 6: Final answer
    x = 219,934.57

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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.