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Finding the Fourth Proportional to 214,768.65, 296,529 and 134,232.36

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Solution

The fourth proportional to 214,768.65, 296,529 and 134,232.36 is: 185,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,768.65 : 296,529 = 134,232.36 : x
  2. Step 2: Convert to fraction form
    214,768.65/296,529 = 134,232.36/x
  3. Step 3: Cross multiply
    214,768.65x = 296,529 × 134,232.36
  4. Step 4: Simplify right side
    214,768.65x = 39,803,787,478.44
  5. Step 5: Solve for x
    x = 39,803,787,478.44/214,768.65
  6. Step 6: Final answer
    x = 185,333.32

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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.