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Finding the Fourth Proportional to 291,803.29, 437,902.10 and 102,265.56

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Solution

The fourth proportional to 291,803.29, 437,902.10 and 102,265.56 is: 153,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,803.29 : 437,902.10 = 102,265.56 : x
  2. Step 2: Convert to fraction form
    291,803.29/437,902.10 = 102,265.56/x
  3. Step 3: Cross multiply
    291,803.29x = 437,902.10 × 102,265.56
  4. Step 4: Simplify right side
    291,803.29x = 44,782,303,481.68
  5. Step 5: Solve for x
    x = 44,782,303,481.68/291,803.29
  6. Step 6: Final answer
    x = 153,467.44

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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.