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Finding the Fourth Proportional to 137,671.86, 206,529.39 and 58,786.50

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Solution

The fourth proportional to 137,671.86, 206,529.39 and 58,786.50 is: 88,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,671.86 : 206,529.39 = 58,786.50 : x
  2. Step 2: Convert to fraction form
    137,671.86/206,529.39 = 58,786.50/x
  3. Step 3: Cross multiply
    137,671.86x = 206,529.39 × 58,786.50
  4. Step 4: Simplify right side
    137,671.86x = 12,141,139,985.24
  5. Step 5: Solve for x
    x = 12,141,139,985.24/137,671.86
  6. Step 6: Final answer
    x = 88,188.97

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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.