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Finding the Fourth Proportional to 269,829.40, 404,744.10 and 145,413.40

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Solution

The fourth proportional to 269,829.40, 404,744.10 and 145,413.40 is: 218,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,829.40 : 404,744.10 = 145,413.40 : x
  2. Step 2: Convert to fraction form
    269,829.40/404,744.10 = 145,413.40/x
  3. Step 3: Cross multiply
    269,829.40x = 404,744.10 × 145,413.40
  4. Step 4: Simplify right side
    269,829.40x = 58,855,215,710.94
  5. Step 5: Solve for x
    x = 58,855,215,710.94/269,829.40
  6. Step 6: Final answer
    x = 218,120.10

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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.