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Finding the Fourth Proportional to 137,042.86, 189,118.38 and 76,613.62

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Solution

The fourth proportional to 137,042.86, 189,118.38 and 76,613.62 is: 105,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,042.86 : 189,118.38 = 76,613.62 : x
  2. Step 2: Convert to fraction form
    137,042.86/189,118.38 = 76,613.62/x
  3. Step 3: Cross multiply
    137,042.86x = 189,118.38 × 76,613.62
  4. Step 4: Simplify right side
    137,042.86x = 14,489,043,700.34
  5. Step 5: Solve for x
    x = 14,489,043,700.34/137,042.86
  6. Step 6: Final answer
    x = 105,726.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.