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Finding the Fourth Proportional to 120,853.92, 181,262.16 and 61,733.28

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Solution

The fourth proportional to 120,853.92, 181,262.16 and 61,733.28 is: 92,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,853.92 : 181,262.16 = 61,733.28 : x
  2. Step 2: Convert to fraction form
    120,853.92/181,262.16 = 61,733.28/x
  3. Step 3: Cross multiply
    120,853.92x = 181,262.16 × 61,733.28
  4. Step 4: Simplify right side
    120,853.92x = 11,189,907,676.68
  5. Step 5: Solve for x
    x = 11,189,907,676.68/120,853.92
  6. Step 6: Final answer
    x = 92,590.36

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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.