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Finding the Fourth Proportional to 255,735.09, 383,713.29 and 137,268.09

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Solution

The fourth proportional to 255,735.09, 383,713.29 and 137,268.09 is: 205,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,735.09 : 383,713.29 = 137,268.09 : x
  2. Step 2: Convert to fraction form
    255,735.09/383,713.29 = 137,268.09/x
  3. Step 3: Cross multiply
    255,735.09x = 383,713.29 × 137,268.09
  4. Step 4: Simplify right side
    255,735.09x = 52,671,590,425.92
  5. Step 5: Solve for x
    x = 52,671,590,425.92/255,735.09
  6. Step 6: Final answer
    x = 205,961.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.