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Finding the Fourth Proportional to 238,452.76, 357,982.65 and 154,563.96

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Solution

The fourth proportional to 238,452.76, 357,982.65 and 154,563.96 is: 232,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,452.76 : 357,982.65 = 154,563.96 : x
  2. Step 2: Convert to fraction form
    238,452.76/357,982.65 = 154,563.96/x
  3. Step 3: Cross multiply
    238,452.76x = 357,982.65 × 154,563.96
  4. Step 4: Simplify right side
    238,452.76x = 55,331,215,995.29
  5. Step 5: Solve for x
    x = 55,331,215,995.29/238,452.76
  6. Step 6: Final answer
    x = 232,042.67

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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.