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Finding the Fourth Proportional to 137,353.40, 205,770.90 and 128,022.20

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Solution

The fourth proportional to 137,353.40, 205,770.90 and 128,022.20 is: 191,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,353.40 : 205,770.90 = 128,022.20 : x
  2. Step 2: Convert to fraction form
    137,353.40/205,770.90 = 128,022.20/x
  3. Step 3: Cross multiply
    137,353.40x = 205,770.90 × 128,022.20
  4. Step 4: Simplify right side
    137,353.40x = 26,343,243,313.98
  5. Step 5: Solve for x
    x = 26,343,243,313.98/137,353.40
  6. Step 6: Final answer
    x = 191,791.71

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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.