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Finding the Fourth Proportional to 203,969.32, 305,907.78 and 77,564.52

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Solution

The fourth proportional to 203,969.32, 305,907.78 and 77,564.52 is: 116,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,969.32 : 305,907.78 = 77,564.52 : x
  2. Step 2: Convert to fraction form
    203,969.32/305,907.78 = 77,564.52/x
  3. Step 3: Cross multiply
    203,969.32x = 305,907.78 × 77,564.52
  4. Step 4: Simplify right side
    203,969.32x = 23,727,590,119.97
  5. Step 5: Solve for x
    x = 23,727,590,119.97/203,969.32
  6. Step 6: Final answer
    x = 116,329.21

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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.