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Finding the Fourth Proportional to 297,701.80, 446,601.90 and 137,937.40

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Solution

The fourth proportional to 297,701.80, 446,601.90 and 137,937.40 is: 206,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,701.80 : 446,601.90 = 137,937.40 : x
  2. Step 2: Convert to fraction form
    297,701.80/446,601.90 = 137,937.40/x
  3. Step 3: Cross multiply
    297,701.80x = 446,601.90 × 137,937.40
  4. Step 4: Simplify right side
    297,701.80x = 61,603,104,921.06
  5. Step 5: Solve for x
    x = 61,603,104,921.06/297,701.80
  6. Step 6: Final answer
    x = 206,928.90

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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.