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Finding the Fourth Proportional to 137,268.46, 205,883.16 and 53,068.27

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Solution

The fourth proportional to 137,268.46, 205,883.16 and 53,068.27 is: 79,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,268.46 : 205,883.16 = 53,068.27 : x
  2. Step 2: Convert to fraction form
    137,268.46/205,883.16 = 53,068.27/x
  3. Step 3: Cross multiply
    137,268.46x = 205,883.16 × 53,068.27
  4. Step 4: Simplify right side
    137,268.46x = 10,925,863,123.33
  5. Step 5: Solve for x
    x = 10,925,863,123.33/137,268.46
  6. Step 6: Final answer
    x = 79,594.85

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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.