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Finding the Fourth Proportional to 140,638, 210,991.56 and 42,142

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Solution

The fourth proportional to 140,638, 210,991.56 and 42,142 is: 63,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,638 : 210,991.56 = 42,142 : x
  2. Step 2: Convert to fraction form
    140,638/210,991.56 = 42,142/x
  3. Step 3: Cross multiply
    140,638x = 210,991.56 × 42,142
  4. Step 4: Simplify right side
    140,638x = 8,891,606,321.52
  5. Step 5: Solve for x
    x = 8,891,606,321.52/140,638
  6. Step 6: Final answer
    x = 63,223.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.