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Finding the Fourth Proportional to 204,792.80, 307,204.80 and 69,814.96

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Solution

The fourth proportional to 204,792.80, 307,204.80 and 69,814.96 is: 104,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,792.80 : 307,204.80 = 69,814.96 : x
  2. Step 2: Convert to fraction form
    204,792.80/307,204.80 = 69,814.96/x
  3. Step 3: Cross multiply
    204,792.80x = 307,204.80 × 69,814.96
  4. Step 4: Simplify right side
    204,792.80x = 21,447,490,823.81
  5. Step 5: Solve for x
    x = 21,447,490,823.81/204,792.80
  6. Step 6: Final answer
    x = 104,727.76

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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.