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Finding the Fourth Proportional to 137,885.70, 206,828.55 and 54,779.70

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Solution

The fourth proportional to 137,885.70, 206,828.55 and 54,779.70 is: 82,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,885.70 : 206,828.55 = 54,779.70 : x
  2. Step 2: Convert to fraction form
    137,885.70/206,828.55 = 54,779.70/x
  3. Step 3: Cross multiply
    137,885.70x = 206,828.55 × 54,779.70
  4. Step 4: Simplify right side
    137,885.70x = 11,330,005,920.44
  5. Step 5: Solve for x
    x = 11,330,005,920.44/137,885.70
  6. Step 6: Final answer
    x = 82,169.55

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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.