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Finding the Fourth Proportional to 210,427.48, 289,778.29 and 182,819.40

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Solution

The fourth proportional to 210,427.48, 289,778.29 and 182,819.40 is: 251,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,427.48 : 289,778.29 = 182,819.40 : x
  2. Step 2: Convert to fraction form
    210,427.48/289,778.29 = 182,819.40/x
  3. Step 3: Cross multiply
    210,427.48x = 289,778.29 × 182,819.40
  4. Step 4: Simplify right side
    210,427.48x = 52,977,093,110.83
  5. Step 5: Solve for x
    x = 52,977,093,110.83/210,427.48
  6. Step 6: Final answer
    x = 251,759.39

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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.