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Finding the Fourth Proportional to 234,384.81, 351,593.61 and 116,024.37

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Solution

The fourth proportional to 234,384.81, 351,593.61 and 116,024.37 is: 174,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,384.81 : 351,593.61 = 116,024.37 : x
  2. Step 2: Convert to fraction form
    234,384.81/351,593.61 = 116,024.37/x
  3. Step 3: Cross multiply
    234,384.81x = 351,593.61 × 116,024.37
  4. Step 4: Simplify right side
    234,384.81x = 40,793,427,096.28
  5. Step 5: Solve for x
    x = 40,793,427,096.28/234,384.81
  6. Step 6: Final answer
    x = 174,044.67

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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.