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Finding the Fourth Proportional to 242,754.14, 364,174.96 and 74,271.30

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Solution

The fourth proportional to 242,754.14, 364,174.96 and 74,271.30 is: 111,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,754.14 : 364,174.96 = 74,271.30 : x
  2. Step 2: Convert to fraction form
    242,754.14/364,174.96 = 74,271.30/x
  3. Step 3: Cross multiply
    242,754.14x = 364,174.96 × 74,271.30
  4. Step 4: Simplify right side
    242,754.14x = 27,047,747,706.65
  5. Step 5: Solve for x
    x = 27,047,747,706.65/242,754.14
  6. Step 6: Final answer
    x = 111,420.34

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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.