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Finding the Fourth Proportional to 204,009.40, 306,014.10 and 200,510.20

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Solution

The fourth proportional to 204,009.40, 306,014.10 and 200,510.20 is: 300,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,009.40 : 306,014.10 = 200,510.20 : x
  2. Step 2: Convert to fraction form
    204,009.40/306,014.10 = 200,510.20/x
  3. Step 3: Cross multiply
    204,009.40x = 306,014.10 × 200,510.20
  4. Step 4: Simplify right side
    204,009.40x = 61,358,948,393.82
  5. Step 5: Solve for x
    x = 61,358,948,393.82/204,009.40
  6. Step 6: Final answer
    x = 300,765.30

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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.