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Finding the Fourth Proportional to 238,269.96, 357,299.97 and 111,946.11

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Solution

The fourth proportional to 238,269.96, 357,299.97 and 111,946.11 is: 167,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,269.96 : 357,299.97 = 111,946.11 : x
  2. Step 2: Convert to fraction form
    238,269.96/357,299.97 = 111,946.11/x
  3. Step 3: Cross multiply
    238,269.96x = 357,299.97 × 111,946.11
  4. Step 4: Simplify right side
    238,269.96x = 39,998,341,744.62
  5. Step 5: Solve for x
    x = 39,998,341,744.62/238,269.96
  6. Step 6: Final answer
    x = 167,869.85

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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.