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Finding the Fourth Proportional to 101,964.53, 153,000.75 and 74,114.43

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Solution

The fourth proportional to 101,964.53, 153,000.75 and 74,114.43 is: 111,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,964.53 : 153,000.75 = 74,114.43 : x
  2. Step 2: Convert to fraction form
    101,964.53/153,000.75 = 74,114.43/x
  3. Step 3: Cross multiply
    101,964.53x = 153,000.75 × 74,114.43
  4. Step 4: Simplify right side
    101,964.53x = 11,339,563,375.82
  5. Step 5: Solve for x
    x = 11,339,563,375.82/101,964.53
  6. Step 6: Final answer
    x = 111,210.87

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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.