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Finding the Fourth Proportional to 214,265.06, 321,080.82 and 202,283.06

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Solution

The fourth proportional to 214,265.06, 321,080.82 and 202,283.06 is: 303,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,265.06 : 321,080.82 = 202,283.06 : x
  2. Step 2: Convert to fraction form
    214,265.06/321,080.82 = 202,283.06/x
  3. Step 3: Cross multiply
    214,265.06x = 321,080.82 × 202,283.06
  4. Step 4: Simplify right side
    214,265.06x = 64,949,210,776.91
  5. Step 5: Solve for x
    x = 64,949,210,776.91/214,265.06
  6. Step 6: Final answer
    x = 303,125.53

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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.