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Finding the Fourth Proportional to 210,222.80, 314,719.80 and 204,078.80

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Solution

The fourth proportional to 210,222.80, 314,719.80 and 204,078.80 is: 305,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,222.80 : 314,719.80 = 204,078.80 : x
  2. Step 2: Convert to fraction form
    210,222.80/314,719.80 = 204,078.80/x
  3. Step 3: Cross multiply
    210,222.80x = 314,719.80 × 204,078.80
  4. Step 4: Simplify right side
    210,222.80x = 64,227,639,120.24
  5. Step 5: Solve for x
    x = 64,227,639,120.24/210,222.80
  6. Step 6: Final answer
    x = 305,521.76

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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.