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Finding the Fourth Proportional to 155,344, 232,996.16 and 50,152

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Solution

The fourth proportional to 155,344, 232,996.16 and 50,152 is: 75,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,344 : 232,996.16 = 50,152 : x
  2. Step 2: Convert to fraction form
    155,344/232,996.16 = 50,152/x
  3. Step 3: Cross multiply
    155,344x = 232,996.16 × 50,152
  4. Step 4: Simplify right side
    155,344x = 11,685,223,416.32
  5. Step 5: Solve for x
    x = 11,685,223,416.32/155,344
  6. Step 6: Final answer
    x = 75,221.59

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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.