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Finding the Fourth Proportional to 238,196.35, 356,827.41 and 138,146.41

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Solution

The fourth proportional to 238,196.35, 356,827.41 and 138,146.41 is: 206,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,196.35 : 356,827.41 = 138,146.41 : x
  2. Step 2: Convert to fraction form
    238,196.35/356,827.41 = 138,146.41/x
  3. Step 3: Cross multiply
    238,196.35x = 356,827.41 × 138,146.41
  4. Step 4: Simplify right side
    238,196.35x = 49,294,425,681.10
  5. Step 5: Solve for x
    x = 49,294,425,681.10/238,196.35
  6. Step 6: Final answer
    x = 206,948.70

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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.