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Finding the Fourth Proportional to 253,292.84, 379,939.70 and 103,533

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Solution

The fourth proportional to 253,292.84, 379,939.70 and 103,533 is: 155,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,292.84 : 379,939.70 = 103,533 : x
  2. Step 2: Convert to fraction form
    253,292.84/379,939.70 = 103,533/x
  3. Step 3: Cross multiply
    253,292.84x = 379,939.70 × 103,533
  4. Step 4: Simplify right side
    253,292.84x = 39,336,296,960.10
  5. Step 5: Solve for x
    x = 39,336,296,960.10/253,292.84
  6. Step 6: Final answer
    x = 155,299.68

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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.