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Finding the Fourth Proportional to 210,233.80, 314,736.30 and 204,089.80

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Solution

The fourth proportional to 210,233.80, 314,736.30 and 204,089.80 is: 305,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,233.80 : 314,736.30 = 204,089.80 : x
  2. Step 2: Convert to fraction form
    210,233.80/314,736.30 = 204,089.80/x
  3. Step 3: Cross multiply
    210,233.80x = 314,736.30 × 204,089.80
  4. Step 4: Simplify right side
    210,233.80x = 64,234,468,519.74
  5. Step 5: Solve for x
    x = 64,234,468,519.74/210,233.80
  6. Step 6: Final answer
    x = 305,538.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.