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Finding the Fourth Proportional to 214,290, 295,586.82 and 137,908.80

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Solution

The fourth proportional to 214,290, 295,586.82 and 137,908.80 is: 190,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,290 : 295,586.82 = 137,908.80 : x
  2. Step 2: Convert to fraction form
    214,290/295,586.82 = 137,908.80/x
  3. Step 3: Cross multiply
    214,290x = 295,586.82 × 137,908.80
  4. Step 4: Simplify right side
    214,290x = 40,764,023,642.02
  5. Step 5: Solve for x
    x = 40,764,023,642.02/214,290
  6. Step 6: Final answer
    x = 190,228.31

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