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Finding the Fourth Proportional to 305,029.50, 457,544.26 and 83,413.50

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Solution

The fourth proportional to 305,029.50, 457,544.26 and 83,413.50 is: 125,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,029.50 : 457,544.26 = 83,413.50 : x
  2. Step 2: Convert to fraction form
    305,029.50/457,544.26 = 83,413.50/x
  3. Step 3: Cross multiply
    305,029.50x = 457,544.26 × 83,413.50
  4. Step 4: Simplify right side
    305,029.50x = 38,165,368,131.51
  5. Step 5: Solve for x
    x = 38,165,368,131.51/305,029.50
  6. Step 6: Final answer
    x = 125,120.25

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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.