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Finding the Fourth Proportional to 205,079.70, 307,619.55 and 200,471.70

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Solution

The fourth proportional to 205,079.70, 307,619.55 and 200,471.70 is: 300,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,079.70 : 307,619.55 = 200,471.70 : x
  2. Step 2: Convert to fraction form
    205,079.70/307,619.55 = 200,471.70/x
  3. Step 3: Cross multiply
    205,079.70x = 307,619.55 × 200,471.70
  4. Step 4: Simplify right side
    205,079.70x = 61,669,014,141.74
  5. Step 5: Solve for x
    x = 61,669,014,141.74/205,079.70
  6. Step 6: Final answer
    x = 300,707.55

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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.