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Finding the Fourth Proportional to 101,664, 152,493.84 and 45,491.04

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Solution

The fourth proportional to 101,664, 152,493.84 and 45,491.04 is: 68,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,664 : 152,493.84 = 45,491.04 : x
  2. Step 2: Convert to fraction form
    101,664/152,493.84 = 45,491.04/x
  3. Step 3: Cross multiply
    101,664x = 152,493.84 × 45,491.04
  4. Step 4: Simplify right side
    101,664x = 6,937,103,375.19
  5. Step 5: Solve for x
    x = 6,937,103,375.19/101,664
  6. Step 6: Final answer
    x = 68,235.59

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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.