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Finding the Fourth Proportional to 238,614.89, 357,914.14 and 61,123.44

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Solution

The fourth proportional to 238,614.89, 357,914.14 and 61,123.44 is: 91,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,614.89 : 357,914.14 = 61,123.44 : x
  2. Step 2: Convert to fraction form
    238,614.89/357,914.14 = 61,123.44/x
  3. Step 3: Cross multiply
    238,614.89x = 357,914.14 × 61,123.44
  4. Step 4: Simplify right side
    238,614.89x = 21,876,943,461.44
  5. Step 5: Solve for x
    x = 21,876,943,461.44/238,614.89
  6. Step 6: Final answer
    x = 91,683.06

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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.