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Finding the Fourth Proportional to 193,354.83, 289,751.85 and 137,304.72

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Solution

The fourth proportional to 193,354.83, 289,751.85 and 137,304.72 is: 205,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,354.83 : 289,751.85 = 137,304.72 : x
  2. Step 2: Convert to fraction form
    193,354.83/289,751.85 = 137,304.72/x
  3. Step 3: Cross multiply
    193,354.83x = 289,751.85 × 137,304.72
  4. Step 4: Simplify right side
    193,354.83x = 39,784,296,633.73
  5. Step 5: Solve for x
    x = 39,784,296,633.73/193,354.83
  6. Step 6: Final answer
    x = 205,757.97

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1.5x scale

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.