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Finding the Fourth Proportional to 282,383.83, 423,481.78 and 113,860.63

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Solution

The fourth proportional to 282,383.83, 423,481.78 and 113,860.63 is: 170,753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,383.83 : 423,481.78 = 113,860.63 : x
  2. Step 2: Convert to fraction form
    282,383.83/423,481.78 = 113,860.63/x
  3. Step 3: Cross multiply
    282,383.83x = 423,481.78 × 113,860.63
  4. Step 4: Simplify right side
    282,383.83x = 48,217,902,264.32
  5. Step 5: Solve for x
    x = 48,217,902,264.32/282,383.83
  6. Step 6: Final answer
    x = 170,753.06

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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.