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Finding the Fourth Proportional to 283,755.23, 391,585.23 and 156,435.38

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Solution

The fourth proportional to 283,755.23, 391,585.23 and 156,435.38 is: 215,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,755.23 : 391,585.23 = 156,435.38 : x
  2. Step 2: Convert to fraction form
    283,755.23/391,585.23 = 156,435.38/x
  3. Step 3: Cross multiply
    283,755.23x = 391,585.23 × 156,435.38
  4. Step 4: Simplify right side
    283,755.23x = 61,257,782,299.51
  5. Step 5: Solve for x
    x = 61,257,782,299.51/283,755.23
  6. Step 6: Final answer
    x = 215,882.48

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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.