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Finding the Fourth Proportional to 238,266.33, 357,294.54 and 111,942.49

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Solution

The fourth proportional to 238,266.33, 357,294.54 and 111,942.49 is: 167,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,266.33 : 357,294.54 = 111,942.49 : x
  2. Step 2: Convert to fraction form
    238,266.33/357,294.54 = 111,942.49/x
  3. Step 3: Cross multiply
    238,266.33x = 357,294.54 × 111,942.49
  4. Step 4: Simplify right side
    238,266.33x = 39,996,438,684.53
  5. Step 5: Solve for x
    x = 39,996,438,684.53/238,266.33
  6. Step 6: Final answer
    x = 167,864.42

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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.