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Finding the Fourth Proportional to 180,663.30, 270,779.67 and 74,042.96

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Solution

The fourth proportional to 180,663.30, 270,779.67 and 74,042.96 is: 110,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,663.30 : 270,779.67 = 74,042.96 : x
  2. Step 2: Convert to fraction form
    180,663.30/270,779.67 = 74,042.96/x
  3. Step 3: Cross multiply
    180,663.30x = 270,779.67 × 74,042.96
  4. Step 4: Simplify right side
    180,663.30x = 20,049,326,920.72
  5. Step 5: Solve for x
    x = 20,049,326,920.72/180,663.30
  6. Step 6: Final answer
    x = 110,976.20

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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.