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Finding the Fourth Proportional to 204,878.80, 307,318.20 and 163,406.80

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Solution

The fourth proportional to 204,878.80, 307,318.20 and 163,406.80 is: 245,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,878.80 : 307,318.20 = 163,406.80 : x
  2. Step 2: Convert to fraction form
    204,878.80/307,318.20 = 163,406.80/x
  3. Step 3: Cross multiply
    204,878.80x = 307,318.20 × 163,406.80
  4. Step 4: Simplify right side
    204,878.80x = 50,217,883,643.76
  5. Step 5: Solve for x
    x = 50,217,883,643.76/204,878.80
  6. Step 6: Final answer
    x = 245,110.20

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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.