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Finding the Fourth Proportional to 137,206.59, 205,846.83 and 70,610.43

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Solution

The fourth proportional to 137,206.59, 205,846.83 and 70,610.43 is: 105,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,206.59 : 205,846.83 = 70,610.43 : x
  2. Step 2: Convert to fraction form
    137,206.59/205,846.83 = 70,610.43/x
  3. Step 3: Cross multiply
    137,206.59x = 205,846.83 × 70,610.43
  4. Step 4: Simplify right side
    137,206.59x = 14,534,933,180.44
  5. Step 5: Solve for x
    x = 14,534,933,180.44/137,206.59
  6. Step 6: Final answer
    x = 105,934.66

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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.