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Finding the Fourth Proportional to 169,000.58, 252,995.78 and 102,238.94

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Solution

The fourth proportional to 169,000.58, 252,995.78 and 102,238.94 is: 153,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,000.58 : 252,995.78 = 102,238.94 : x
  2. Step 2: Convert to fraction form
    169,000.58/252,995.78 = 102,238.94/x
  3. Step 3: Cross multiply
    169,000.58x = 252,995.78 × 102,238.94
  4. Step 4: Simplify right side
    169,000.58x = 25,866,020,371.67
  5. Step 5: Solve for x
    x = 25,866,020,371.67/169,000.58
  6. Step 6: Final answer
    x = 153,052.85

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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.