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Finding the Fourth Proportional to 137,656.26, 206,559.59 and 53,419.73

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Solution

The fourth proportional to 137,656.26, 206,559.59 and 53,419.73 is: 80,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,656.26 : 206,559.59 = 53,419.73 : x
  2. Step 2: Convert to fraction form
    137,656.26/206,559.59 = 53,419.73/x
  3. Step 3: Cross multiply
    137,656.26x = 206,559.59 × 53,419.73
  4. Step 4: Simplify right side
    137,656.26x = 11,034,356,226.81
  5. Step 5: Solve for x
    x = 11,034,356,226.81/137,656.26
  6. Step 6: Final answer
    x = 80,158.77

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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.