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Finding the Fourth Proportional to 137,823.64, 190,097.22 and 126,529

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Solution

The fourth proportional to 137,823.64, 190,097.22 and 126,529 is: 174,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,823.64 : 190,097.22 = 126,529 : x
  2. Step 2: Convert to fraction form
    137,823.64/190,097.22 = 126,529/x
  3. Step 3: Cross multiply
    137,823.64x = 190,097.22 × 126,529
  4. Step 4: Simplify right side
    137,823.64x = 24,052,811,149.38
  5. Step 5: Solve for x
    x = 24,052,811,149.38/137,823.64
  6. Step 6: Final answer
    x = 174,518.76

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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.