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Finding the Fourth Proportional to 205,676.32, 308,162.40 and 112,247.68

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Solution

The fourth proportional to 205,676.32, 308,162.40 and 112,247.68 is: 168,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,676.32 : 308,162.40 = 112,247.68 : x
  2. Step 2: Convert to fraction form
    205,676.32/308,162.40 = 112,247.68/x
  3. Step 3: Cross multiply
    205,676.32x = 308,162.40 × 112,247.68
  4. Step 4: Simplify right side
    205,676.32x = 34,590,514,463.23
  5. Step 5: Solve for x
    x = 34,590,514,463.23/205,676.32
  6. Step 6: Final answer
    x = 168,179.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.