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Finding the Fourth Proportional to 137,977.80, 206,966.70 and 90,738.60

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Solution

The fourth proportional to 137,977.80, 206,966.70 and 90,738.60 is: 136,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,977.80 : 206,966.70 = 90,738.60 : x
  2. Step 2: Convert to fraction form
    137,977.80/206,966.70 = 90,738.60/x
  3. Step 3: Cross multiply
    137,977.80x = 206,966.70 × 90,738.60
  4. Step 4: Simplify right side
    137,977.80x = 18,779,868,604.62
  5. Step 5: Solve for x
    x = 18,779,868,604.62/137,977.80
  6. Step 6: Final answer
    x = 136,107.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.