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Finding the Fourth Proportional to 137,190.42, 206,813.85 and 128,046

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Solution

The fourth proportional to 137,190.42, 206,813.85 and 128,046 is: 193,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,190.42 : 206,813.85 = 128,046 : x
  2. Step 2: Convert to fraction form
    137,190.42/206,813.85 = 128,046/x
  3. Step 3: Cross multiply
    137,190.42x = 206,813.85 × 128,046
  4. Step 4: Simplify right side
    137,190.42x = 26,481,685,596.87
  5. Step 5: Solve for x
    x = 26,481,685,596.87/137,190.42
  6. Step 6: Final answer
    x = 193,028.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.