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Finding the Fourth Proportional to 137,714.98, 206,516.87 and 53,430.82

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Solution

The fourth proportional to 137,714.98, 206,516.87 and 53,430.82 is: 80,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,714.98 : 206,516.87 = 53,430.82 : x
  2. Step 2: Convert to fraction form
    137,714.98/206,516.87 = 53,430.82/x
  3. Step 3: Cross multiply
    137,714.98x = 206,516.87 × 53,430.82
  4. Step 4: Simplify right side
    137,714.98x = 11,034,365,707.93
  5. Step 5: Solve for x
    x = 11,034,365,707.93/137,714.98
  6. Step 6: Final answer
    x = 80,124.66

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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.