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Finding the Fourth Proportional to 204,352.50, 308,448.15 and 204,352.50

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Solution

The fourth proportional to 204,352.50, 308,448.15 and 204,352.50 is: 308,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,352.50 : 308,448.15 = 204,352.50 : x
  2. Step 2: Convert to fraction form
    204,352.50/308,448.15 = 204,352.50/x
  3. Step 3: Cross multiply
    204,352.50x = 308,448.15 × 204,352.50
  4. Step 4: Simplify right side
    204,352.50x = 63,032,150,572.88
  5. Step 5: Solve for x
    x = 63,032,150,572.88/204,352.50
  6. Step 6: Final answer
    x = 308,448.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.