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Finding the Fourth Proportional to 238,269.42, 357,299.16 and 111,945.54

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Solution

The fourth proportional to 238,269.42, 357,299.16 and 111,945.54 is: 167,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,269.42 : 357,299.16 = 111,945.54 : x
  2. Step 2: Convert to fraction form
    238,269.42/357,299.16 = 111,945.54/x
  3. Step 3: Cross multiply
    238,269.42x = 357,299.16 × 111,945.54
  4. Step 4: Simplify right side
    238,269.42x = 39,998,047,407.75
  5. Step 5: Solve for x
    x = 39,998,047,407.75/238,269.42
  6. Step 6: Final answer
    x = 167,868.99

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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.