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Finding the Fourth Proportional to 137,108.41, 205,662.20 and 48,340.51

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Solution

The fourth proportional to 137,108.41, 205,662.20 and 48,340.51 is: 72,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,108.41 : 205,662.20 = 48,340.51 : x
  2. Step 2: Convert to fraction form
    137,108.41/205,662.20 = 48,340.51/x
  3. Step 3: Cross multiply
    137,108.41x = 205,662.20 × 48,340.51
  4. Step 4: Simplify right side
    137,108.41x = 9,941,814,879.86
  5. Step 5: Solve for x
    x = 9,941,814,879.86/137,108.41
  6. Step 6: Final answer
    x = 72,510.61

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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.