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Finding the Fourth Proportional to 239,991.84, 359,937.36 and 110,174

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Solution

The fourth proportional to 239,991.84, 359,937.36 and 110,174 is: 165,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,991.84 : 359,937.36 = 110,174 : x
  2. Step 2: Convert to fraction form
    239,991.84/359,937.36 = 110,174/x
  3. Step 3: Cross multiply
    239,991.84x = 359,937.36 × 110,174
  4. Step 4: Simplify right side
    239,991.84x = 39,655,738,700.64
  5. Step 5: Solve for x
    x = 39,655,738,700.64/239,991.84
  6. Step 6: Final answer
    x = 165,237.86

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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.