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Finding the Fourth Proportional to 239,852.98, 359,778.93 and 97,757.38

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Solution

The fourth proportional to 239,852.98, 359,778.93 and 97,757.38 is: 146,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,852.98 : 359,778.93 = 97,757.38 : x
  2. Step 2: Convert to fraction form
    239,852.98/359,778.93 = 97,757.38/x
  3. Step 3: Cross multiply
    239,852.98x = 359,778.93 × 97,757.38
  4. Step 4: Simplify right side
    239,852.98x = 35,171,045,576.00
  5. Step 5: Solve for x
    x = 35,171,045,576.00/239,852.98
  6. Step 6: Final answer
    x = 146,635.85

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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.