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Finding the Fourth Proportional to 305,029.52, 457,544.26 and 83,413.52

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Solution

The fourth proportional to 305,029.52, 457,544.26 and 83,413.52 is: 125,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,029.52 : 457,544.26 = 83,413.52 : x
  2. Step 2: Convert to fraction form
    305,029.52/457,544.26 = 83,413.52/x
  3. Step 3: Cross multiply
    305,029.52x = 457,544.26 × 83,413.52
  4. Step 4: Simplify right side
    305,029.52x = 38,165,377,282.40
  5. Step 5: Solve for x
    x = 38,165,377,282.40/305,029.52
  6. Step 6: Final answer
    x = 125,120.27

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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.