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Finding the Fourth Proportional to 203,302.24, 304,913.92 and 76,952.34

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Solution

The fourth proportional to 203,302.24, 304,913.92 and 76,952.34 is: 115,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,302.24 : 304,913.92 = 76,952.34 : x
  2. Step 2: Convert to fraction form
    203,302.24/304,913.92 = 76,952.34/x
  3. Step 3: Cross multiply
    203,302.24x = 304,913.92 × 76,952.34
  4. Step 4: Simplify right side
    203,302.24x = 23,463,839,642.57
  5. Step 5: Solve for x
    x = 23,463,839,642.57/203,302.24
  6. Step 6: Final answer
    x = 115,413.58

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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.