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Finding the Fourth Proportional to 316,269.16, 436,609.38 and 182,107.24

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Solution

The fourth proportional to 316,269.16, 436,609.38 and 182,107.24 is: 251,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,269.16 : 436,609.38 = 182,107.24 : x
  2. Step 2: Convert to fraction form
    316,269.16/436,609.38 = 182,107.24/x
  3. Step 3: Cross multiply
    316,269.16x = 436,609.38 × 182,107.24
  4. Step 4: Simplify right side
    316,269.16x = 79,509,729,149.91
  5. Step 5: Solve for x
    x = 79,509,729,149.91/316,269.16
  6. Step 6: Final answer
    x = 251,398.93

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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.