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Finding the Fourth Proportional to 137,851.60, 193,385.90 and 137,851.60

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Solution

The fourth proportional to 137,851.60, 193,385.90 and 137,851.60 is: 193,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.60 : 193,385.90 = 137,851.60 : x
  2. Step 2: Convert to fraction form
    137,851.60/193,385.90 = 137,851.60/x
  3. Step 3: Cross multiply
    137,851.60x = 193,385.90 × 137,851.60
  4. Step 4: Simplify right side
    137,851.60x = 26,658,555,732.44
  5. Step 5: Solve for x
    x = 26,658,555,732.44/137,851.60
  6. Step 6: Final answer
    x = 193,385.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.