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Finding the Fourth Proportional to 316,251.78, 436,446.81 and 182,158.98

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Solution

The fourth proportional to 316,251.78, 436,446.81 and 182,158.98 is: 251,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,251.78 : 436,446.81 = 182,158.98 : x
  2. Step 2: Convert to fraction form
    316,251.78/436,446.81 = 182,158.98/x
  3. Step 3: Cross multiply
    316,251.78x = 436,446.81 × 182,158.98
  4. Step 4: Simplify right side
    316,251.78x = 79,502,705,733.85
  5. Step 5: Solve for x
    x = 79,502,705,733.85/316,251.78
  6. Step 6: Final answer
    x = 251,390.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.