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Finding the Fourth Proportional to 210,231.80, 314,733.30 and 204,087.80

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Solution

The fourth proportional to 210,231.80, 314,733.30 and 204,087.80 is: 305,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,231.80 : 314,733.30 = 204,087.80 : x
  2. Step 2: Convert to fraction form
    210,231.80/314,733.30 = 204,087.80/x
  3. Step 3: Cross multiply
    210,231.80x = 314,733.30 × 204,087.80
  4. Step 4: Simplify right side
    210,231.80x = 64,233,226,783.74
  5. Step 5: Solve for x
    x = 64,233,226,783.74/210,231.80
  6. Step 6: Final answer
    x = 305,535.26

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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.