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Finding the Fourth Proportional to 238,021.50, 328,469.94 and 137,419.50

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Solution

The fourth proportional to 238,021.50, 328,469.94 and 137,419.50 is: 189,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,021.50 : 328,469.94 = 137,419.50 : x
  2. Step 2: Convert to fraction form
    238,021.50/328,469.94 = 137,419.50/x
  3. Step 3: Cross multiply
    238,021.50x = 328,469.94 × 137,419.50
  4. Step 4: Simplify right side
    238,021.50x = 45,138,174,919.83
  5. Step 5: Solve for x
    x = 45,138,174,919.83/238,021.50
  6. Step 6: Final answer
    x = 189,639.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.