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Finding the Fourth Proportional to 214,136.02, 295,374 and 137,754.82

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Solution

The fourth proportional to 214,136.02, 295,374 and 137,754.82 is: 190,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,136.02 : 295,374 = 137,754.82 : x
  2. Step 2: Convert to fraction form
    214,136.02/295,374 = 137,754.82/x
  3. Step 3: Cross multiply
    214,136.02x = 295,374 × 137,754.82
  4. Step 4: Simplify right side
    214,136.02x = 40,689,192,202.68
  5. Step 5: Solve for x
    x = 40,689,192,202.68/214,136.02
  6. Step 6: Final answer
    x = 190,015.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.