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Finding the Fourth Proportional to 192,037.30, 264,971.90 and 110,349.77

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Solution

The fourth proportional to 192,037.30, 264,971.90 and 110,349.77 is: 152,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,037.30 : 264,971.90 = 110,349.77 : x
  2. Step 2: Convert to fraction form
    192,037.30/264,971.90 = 110,349.77/x
  3. Step 3: Cross multiply
    192,037.30x = 264,971.90 × 110,349.77
  4. Step 4: Simplify right side
    192,037.30x = 29,239,586,951.94
  5. Step 5: Solve for x
    x = 29,239,586,951.94/192,037.30
  6. Step 6: Final answer
    x = 152,259.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.