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Finding the Fourth Proportional to 289,213.26, 433,878.48 and 102,355.98

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Solution

The fourth proportional to 289,213.26, 433,878.48 and 102,355.98 is: 153,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,213.26 : 433,878.48 = 102,355.98 : x
  2. Step 2: Convert to fraction form
    289,213.26/433,878.48 = 102,355.98/x
  3. Step 3: Cross multiply
    289,213.26x = 433,878.48 × 102,355.98
  4. Step 4: Simplify right side
    289,213.26x = 44,410,057,021.31
  5. Step 5: Solve for x
    x = 44,410,057,021.31/289,213.26
  6. Step 6: Final answer
    x = 153,554.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.