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Finding the Fourth Proportional to 159,329.67, 238,962.76 and 102,234.69

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Solution

The fourth proportional to 159,329.67, 238,962.76 and 102,234.69 is: 153,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,329.67 : 238,962.76 = 102,234.69 : x
  2. Step 2: Convert to fraction form
    159,329.67/238,962.76 = 102,234.69/x
  3. Step 3: Cross multiply
    159,329.67x = 238,962.76 × 102,234.69
  4. Step 4: Simplify right side
    159,329.67x = 24,430,283,434.56
  5. Step 5: Solve for x
    x = 24,430,283,434.56/159,329.67
  6. Step 6: Final answer
    x = 153,331.67

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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.