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Finding the Fourth Proportional to 101,164.62, 151,814.61 and 42,000.33

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Solution

The fourth proportional to 101,164.62, 151,814.61 and 42,000.33 is: 63,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,164.62 : 151,814.61 = 42,000.33 : x
  2. Step 2: Convert to fraction form
    101,164.62/151,814.61 = 42,000.33/x
  3. Step 3: Cross multiply
    101,164.62x = 151,814.61 × 42,000.33
  4. Step 4: Simplify right side
    101,164.62x = 6,376,263,718.82
  5. Step 5: Solve for x
    x = 6,376,263,718.82/101,164.62
  6. Step 6: Final answer
    x = 63,028.59

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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.